Finding the Third Proportional to 80,105,165 and 164,456,914

Step by Step Solution

1. Step 1: Write the proportion equation
   80,105,165 : 164,456,914 = 164,456,914 : x
2. Step 2: Convert to fraction form
   80,105,165/164,456,914 = 164,456,914/x
3. Step 3: Cross multiply
   80,105,165x = 164,456,914 × 164,456,914
4. Step 4: Simplify right side
   80,105,165x = 27,046,076,562,403,396
5. Step 5: Solve for x
   x = 27,046,076,562,403,396/80,105,165
6. Step 6: Final answer
   x = 337,632,118.51