Finding the Third Proportional to 77,502 and 109,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,502 : 109,695.50 = 109,695.50 : x
2. Step 2: Convert to fraction form
   77,502/109,695.50 = 109,695.50/x
3. Step 3: Cross multiply
   77,502x = 109,695.50 × 109,695.50
4. Step 4: Simplify right side
   77,502x = 12,033,102,720.25
5. Step 5: Solve for x
   x = 12,033,102,720.25/77,502
6. Step 6: Final answer
   x = 155,261.83