Finding the Third Proportional to 271,746 and 391,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,746 : 391,417.50 = 391,417.50 : x
2. Step 2: Convert to fraction form
   271,746/391,417.50 = 391,417.50/x
3. Step 3: Cross multiply
   271,746x = 391,417.50 × 391,417.50
4. Step 4: Simplify right side
   271,746x = 153,207,659,306.25
5. Step 5: Solve for x
   x = 153,207,659,306.25/271,746
6. Step 6: Final answer
   x = 563,789.93