Finding the Third Proportional to 488,748 and 682,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   488,748 : 682,792.50 = 682,792.50 : x
2. Step 2: Convert to fraction form
   488,748/682,792.50 = 682,792.50/x
3. Step 3: Cross multiply
   488,748x = 682,792.50 × 682,792.50
4. Step 4: Simplify right side
   488,748x = 466,205,598,056.25
5. Step 5: Solve for x
   x = 466,205,598,056.25/488,748
6. Step 6: Final answer
   x = 953,877.25