Finding the Third Proportional to 182,123.50 and 275,727

Step by Step Solution

1. Step 1: Write the proportion equation
   182,123.50 : 275,727 = 275,727 : x
2. Step 2: Convert to fraction form
   182,123.50/275,727 = 275,727/x
3. Step 3: Cross multiply
   182,123.50x = 275,727 × 275,727
4. Step 4: Simplify right side
   182,123.50x = 76,025,378,529
5. Step 5: Solve for x
   x = 76,025,378,529/182,123.50
6. Step 6: Final answer
   x = 417,438.60