Finding the Third Proportional to 350,826.50 and 488,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   350,826.50 : 488,789.50 = 488,789.50 : x
2. Step 2: Convert to fraction form
   350,826.50/488,789.50 = 488,789.50/x
3. Step 3: Cross multiply
   350,826.50x = 488,789.50 × 488,789.50
4. Step 4: Simplify right side
   350,826.50x = 238,915,175,310.25
5. Step 5: Solve for x
   x = 238,915,175,310.25/350,826.50
6. Step 6: Final answer
   x = 681,006.64