Finding the Third Proportional to 267,094.50 and 413,016

Step by Step Solution

1. Step 1: Write the proportion equation
   267,094.50 : 413,016 = 413,016 : x
2. Step 2: Convert to fraction form
   267,094.50/413,016 = 413,016/x
3. Step 3: Cross multiply
   267,094.50x = 413,016 × 413,016
4. Step 4: Simplify right side
   267,094.50x = 170,582,216,256
5. Step 5: Solve for x
   x = 170,582,216,256/267,094.50
6. Step 6: Final answer
   x = 638,658.66