Finding the Third Proportional to 257,982 and 390,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,982 : 390,868.50 = 390,868.50 : x
2. Step 2: Convert to fraction form
   257,982/390,868.50 = 390,868.50/x
3. Step 3: Cross multiply
   257,982x = 390,868.50 × 390,868.50
4. Step 4: Simplify right side
   257,982x = 152,778,184,292.25
5. Step 5: Solve for x
   x = 152,778,184,292.25/257,982
6. Step 6: Final answer
   x = 592,204.82