Finding the Third Proportional to 78,772.50 and 117,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,772.50 : 117,643.50 = 117,643.50 : x
2. Step 2: Convert to fraction form
   78,772.50/117,643.50 = 117,643.50/x
3. Step 3: Cross multiply
   78,772.50x = 117,643.50 × 117,643.50
4. Step 4: Simplify right side
   78,772.50x = 13,839,993,092.25
5. Step 5: Solve for x
   x = 13,839,993,092.25/78,772.50
6. Step 6: Final answer
   x = 175,695.75