Finding the Third Proportional to 77,517 and 116,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,517 : 116,275.50 = 116,275.50 : x
2. Step 2: Convert to fraction form
   77,517/116,275.50 = 116,275.50/x
3. Step 3: Cross multiply
   77,517x = 116,275.50 × 116,275.50
4. Step 4: Simplify right side
   77,517x = 13,519,991,900.25
5. Step 5: Solve for x
   x = 13,519,991,900.25/77,517
6. Step 6: Final answer
   x = 174,413.25