Finding the Third Proportional to 257,970 and 390,849.75

Step by Step Solution

1. Step 1: Write the proportion equation
   257,970 : 390,849.75 = 390,849.75 : x
2. Step 2: Convert to fraction form
   257,970/390,849.75 = 390,849.75/x
3. Step 3: Cross multiply
   257,970x = 390,849.75 × 390,849.75
4. Step 4: Simplify right side
   257,970x = 152,763,527,075.06
5. Step 5: Solve for x
   x = 152,763,527,075.06/257,970
6. Step 6: Final answer
   x = 592,175.55