Finding the Third Proportional to 254,373.50 and 404,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   254,373.50 : 404,909.50 = 404,909.50 : x
2. Step 2: Convert to fraction form
   254,373.50/404,909.50 = 404,909.50/x
3. Step 3: Cross multiply
   254,373.50x = 404,909.50 × 404,909.50
4. Step 4: Simplify right side
   254,373.50x = 163,951,703,190.25
5. Step 5: Solve for x
   x = 163,951,703,190.25/254,373.50
6. Step 6: Final answer
   x = 644,531.38