Finding the Third Proportional to 249,889.50 and 356,142

Step by Step Solution

1. Step 1: Write the proportion equation
   249,889.50 : 356,142 = 356,142 : x
2. Step 2: Convert to fraction form
   249,889.50/356,142 = 356,142/x
3. Step 3: Cross multiply
   249,889.50x = 356,142 × 356,142
4. Step 4: Simplify right side
   249,889.50x = 126,837,124,164
5. Step 5: Solve for x
   x = 126,837,124,164/249,889.50
6. Step 6: Final answer
   x = 507,572.84