Finding the Third Proportional to 257,089.50 and 375,700.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,089.50 : 375,700.50 = 375,700.50 : x
2. Step 2: Convert to fraction form
   257,089.50/375,700.50 = 375,700.50/x
3. Step 3: Cross multiply
   257,089.50x = 375,700.50 × 375,700.50
4. Step 4: Simplify right side
   257,089.50x = 141,150,865,700.25
5. Step 5: Solve for x
   x = 141,150,865,700.25/257,089.50
6. Step 6: Final answer
   x = 549,033.96