Finding the Third Proportional to 267,023 and 413,318.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,023 : 413,318.50 = 413,318.50 : x
2. Step 2: Convert to fraction form
   267,023/413,318.50 = 413,318.50/x
3. Step 3: Cross multiply
   267,023x = 413,318.50 × 413,318.50
4. Step 4: Simplify right side
   267,023x = 170,832,182,442.25
5. Step 5: Solve for x
   x = 170,832,182,442.25/267,023
6. Step 6: Final answer
   x = 639,765.80