Finding the Third Proportional to 260,586 and 391,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   260,586 : 391,504.50 = 391,504.50 : x
2. Step 2: Convert to fraction form
   260,586/391,504.50 = 391,504.50/x
3. Step 3: Cross multiply
   260,586x = 391,504.50 × 391,504.50
4. Step 4: Simplify right side
   260,586x = 153,275,773,520.25
5. Step 5: Solve for x
   x = 153,275,773,520.25/260,586
6. Step 6: Final answer
   x = 588,196.50