Finding the Third Proportional to 257,665.50 and 371,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,665.50 : 371,119.50 = 371,119.50 : x
2. Step 2: Convert to fraction form
   257,665.50/371,119.50 = 371,119.50/x
3. Step 3: Cross multiply
   257,665.50x = 371,119.50 × 371,119.50
4. Step 4: Simplify right side
   257,665.50x = 137,729,683,280.25
5. Step 5: Solve for x
   x = 137,729,683,280.25/257,665.50
6. Step 6: Final answer
   x = 534,529.00