Finding the Third Proportional to 265,569.50 and 406,434

Step by Step Solution

1. Step 1: Write the proportion equation
   265,569.50 : 406,434 = 406,434 : x
2. Step 2: Convert to fraction form
   265,569.50/406,434 = 406,434/x
3. Step 3: Cross multiply
   265,569.50x = 406,434 × 406,434
4. Step 4: Simplify right side
   265,569.50x = 165,188,596,356
5. Step 5: Solve for x
   x = 165,188,596,356/265,569.50
6. Step 6: Final answer
   x = 622,016.45