Finding the Third Proportional to 181,171.50 and 266,429.25

Step by Step Solution

1. Step 1: Write the proportion equation
   181,171.50 : 266,429.25 = 266,429.25 : x
2. Step 2: Convert to fraction form
   181,171.50/266,429.25 = 266,429.25/x
3. Step 3: Cross multiply
   181,171.50x = 266,429.25 × 266,429.25
4. Step 4: Simplify right side
   181,171.50x = 70,984,545,255.56
5. Step 5: Solve for x
   x = 70,984,545,255.56/181,171.50
6. Step 6: Final answer
   x = 391,808.56