Finding the Third Proportional to 260,068 and 389,049

Step by Step Solution

1. Step 1: Write the proportion equation
   260,068 : 389,049 = 389,049 : x
2. Step 2: Convert to fraction form
   260,068/389,049 = 389,049/x
3. Step 3: Cross multiply
   260,068x = 389,049 × 389,049
4. Step 4: Simplify right side
   260,068x = 151,359,124,401
5. Step 5: Solve for x
   x = 151,359,124,401/260,068
6. Step 6: Final answer
   x = 581,998.26