Finding the Third Proportional to 257,185.50 and 400,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,185.50 : 400,504.50 = 400,504.50 : x
2. Step 2: Convert to fraction form
   257,185.50/400,504.50 = 400,504.50/x
3. Step 3: Cross multiply
   257,185.50x = 400,504.50 × 400,504.50
4. Step 4: Simplify right side
   257,185.50x = 160,403,854,520.25
5. Step 5: Solve for x
   x = 160,403,854,520.25/257,185.50
6. Step 6: Final answer
   x = 623,689.34