Finding the Third Proportional to 267,019.50 and 413,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,019.50 : 413,314.50 = 413,314.50 : x
2. Step 2: Convert to fraction form
   267,019.50/413,314.50 = 413,314.50/x
3. Step 3: Cross multiply
   267,019.50x = 413,314.50 × 413,314.50
4. Step 4: Simplify right side
   267,019.50x = 170,828,875,910.25
5. Step 5: Solve for x
   x = 170,828,875,910.25/267,019.50
6. Step 6: Final answer
   x = 639,761.80