Finding the Third Proportional to 509,382 and 689,339.25

Step by Step Solution

1. Step 1: Write the proportion equation
   509,382 : 689,339.25 = 689,339.25 : x
2. Step 2: Convert to fraction form
   509,382/689,339.25 = 689,339.25/x
3. Step 3: Cross multiply
   509,382x = 689,339.25 × 689,339.25
4. Step 4: Simplify right side
   509,382x = 475,188,601,590.56
5. Step 5: Solve for x
   x = 475,188,601,590.56/509,382
6. Step 6: Final answer
   x = 932,872.78