Finding the Third Proportional to 100,494 and 247,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,494 : 247,792.50 = 247,792.50 : x
2. Step 2: Convert to fraction form
   100,494/247,792.50 = 247,792.50/x
3. Step 3: Cross multiply
   100,494x = 247,792.50 × 247,792.50
4. Step 4: Simplify right side
   100,494x = 61,401,123,056.25
5. Step 5: Solve for x
   x = 61,401,123,056.25/100,494
6. Step 6: Final answer
   x = 610,992.93