Finding the Third Proportional to 309,154 and 491,782

Step by Step Solution

1. Step 1: Write the proportion equation
   309,154 : 491,782 = 491,782 : x
2. Step 2: Convert to fraction form
   309,154/491,782 = 491,782/x
3. Step 3: Cross multiply
   309,154x = 491,782 × 491,782
4. Step 4: Simplify right side
   309,154x = 241,849,535,524
5. Step 5: Solve for x
   x = 241,849,535,524/309,154
6. Step 6: Final answer
   x = 782,294.70