Finding the Third Proportional to 509,337 and 689,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   509,337 : 689,269.50 = 689,269.50 : x
2. Step 2: Convert to fraction form
   509,337/689,269.50 = 689,269.50/x
3. Step 3: Cross multiply
   509,337x = 689,269.50 × 689,269.50
4. Step 4: Simplify right side
   509,337x = 475,092,443,630.25
5. Step 5: Solve for x
   x = 475,092,443,630.25/509,337
6. Step 6: Final answer
   x = 932,766.41