Finding the Third Proportional to 111,130.50 and 172,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,130.50 : 172,123.50 = 172,123.50 : x
2. Step 2: Convert to fraction form
   111,130.50/172,123.50 = 172,123.50/x
3. Step 3: Cross multiply
   111,130.50x = 172,123.50 × 172,123.50
4. Step 4: Simplify right side
   111,130.50x = 29,626,499,252.25
5. Step 5: Solve for x
   x = 29,626,499,252.25/111,130.50
6. Step 6: Final answer
   x = 266,591.97