Finding the Third Proportional to 257,973.50 and 390,855

Step by Step Solution

1. Step 1: Write the proportion equation
   257,973.50 : 390,855 = 390,855 : x
2. Step 2: Convert to fraction form
   257,973.50/390,855 = 390,855/x
3. Step 3: Cross multiply
   257,973.50x = 390,855 × 390,855
4. Step 4: Simplify right side
   257,973.50x = 152,767,631,025
5. Step 5: Solve for x
   x = 152,767,631,025/257,973.50
6. Step 6: Final answer
   x = 592,183.43