Finding the Third Proportional to 267,084 and 382,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,084 : 382,588.50 = 382,588.50 : x
2. Step 2: Convert to fraction form
   267,084/382,588.50 = 382,588.50/x
3. Step 3: Cross multiply
   267,084x = 382,588.50 × 382,588.50
4. Step 4: Simplify right side
   267,084x = 146,373,960,332.25
5. Step 5: Solve for x
   x = 146,373,960,332.25/267,084
6. Step 6: Final answer
   x = 548,044.66