Finding the Third Proportional to 257,488.50 and 393,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,488.50 : 393,892.50 = 393,892.50 : x
2. Step 2: Convert to fraction form
   257,488.50/393,892.50 = 393,892.50/x
3. Step 3: Cross multiply
   257,488.50x = 393,892.50 × 393,892.50
4. Step 4: Simplify right side
   257,488.50x = 155,151,301,556.25
5. Step 5: Solve for x
   x = 155,151,301,556.25/257,488.50
6. Step 6: Final answer
   x = 602,556.24