Finding the Third Proportional to 267,174 and 382,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,174 : 382,711.50 = 382,711.50 : x
2. Step 2: Convert to fraction form
   267,174/382,711.50 = 382,711.50/x
3. Step 3: Cross multiply
   267,174x = 382,711.50 × 382,711.50
4. Step 4: Simplify right side
   267,174x = 146,468,092,232.25
5. Step 5: Solve for x
   x = 146,468,092,232.25/267,174
6. Step 6: Final answer
   x = 548,212.37