Finding the Third Proportional to 42,678,206,394,080 and 57,582,921,035,460

Step by Step Solution

1. Step 1: Write the proportion equation
   42,678,206,394,080 : 57,582,921,035,460 = 57,582,921,035,460 : x
2. Step 2: Convert to fraction form
   42,678,206,394,080/57,582,921,035,460 = 57,582,921,035,460/x
3. Step 3: Cross multiply
   42,678,206,394,080x = 57,582,921,035,460 × 57,582,921,035,460
4. Step 4: Simplify right side
   42,678,206,394,080x = 3,315,792,794,976,021,655,444,258,816
5. Step 5: Solve for x
   x = 3,315,792,794,976,021,655,444,258,816/42,678,206,394,080
6. Step 6: Final answer
   x = 77,692,880,632,302.38