Finding the Third Proportional to 73,872.50 and 114,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,872.50 : 114,605.50 = 114,605.50 : x
2. Step 2: Convert to fraction form
   73,872.50/114,605.50 = 114,605.50/x
3. Step 3: Cross multiply
   73,872.50x = 114,605.50 × 114,605.50
4. Step 4: Simplify right side
   73,872.50x = 13,134,420,630.25
5. Step 5: Solve for x
   x = 13,134,420,630.25/73,872.50
6. Step 6: Final answer
   x = 177,798.51