Finding the Third Proportional to 267,109.50 and 415,983

Step by Step Solution

1. Step 1: Write the proportion equation
   267,109.50 : 415,983 = 415,983 : x
2. Step 2: Convert to fraction form
   267,109.50/415,983 = 415,983/x
3. Step 3: Cross multiply
   267,109.50x = 415,983 × 415,983
4. Step 4: Simplify right side
   267,109.50x = 173,041,856,289
5. Step 5: Solve for x
   x = 173,041,856,289/267,109.50
6. Step 6: Final answer
   x = 647,831.16