Finding the Third Proportional to 34,403,628,599,640 and 73,714,465,006,608

Step by Step Solution

1. Step 1: Write the proportion equation
   34,403,628,599,640 : 73,714,465,006,608 = 73,714,465,006,608 : x
2. Step 2: Convert to fraction form
   34,403,628,599,640/73,714,465,006,608 = 73,714,465,006,608/x
3. Step 3: Cross multiply
   34,403,628,599,640x = 73,714,465,006,608 × 73,714,465,006,608
4. Step 4: Simplify right side
   34,403,628,599,640x = 5,433,822,351,210,435,765,843,525,632
5. Step 5: Solve for x
   x = 5,433,822,351,210,435,765,843,525,632/34,403,628,599,640
6. Step 6: Final answer
   x = 157,943,291,809,262.69