Finding the Third Proportional to 77,760.75 and 123,792

Step by Step Solution

1. Step 1: Write the proportion equation
   77,760.75 : 123,792 = 123,792 : x
2. Step 2: Convert to fraction form
   77,760.75/123,792 = 123,792/x
3. Step 3: Cross multiply
   77,760.75x = 123,792 × 123,792
4. Step 4: Simplify right side
   77,760.75x = 15,324,459,264
5. Step 5: Solve for x
   x = 15,324,459,264/77,760.75
6. Step 6: Final answer
   x = 197,071.91