Finding the Third Proportional to 257,970 and 390,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,970 : 390,849.50 = 390,849.50 : x
2. Step 2: Convert to fraction form
   257,970/390,849.50 = 390,849.50/x
3. Step 3: Cross multiply
   257,970x = 390,849.50 × 390,849.50
4. Step 4: Simplify right side
   257,970x = 152,763,331,650.25
5. Step 5: Solve for x
   x = 152,763,331,650.25/257,970
6. Step 6: Final answer
   x = 592,174.79