Finding the Third Proportional to 288,892.50 and 416,124

Step by Step Solution

1. Step 1: Write the proportion equation
   288,892.50 : 416,124 = 416,124 : x
2. Step 2: Convert to fraction form
   288,892.50/416,124 = 416,124/x
3. Step 3: Cross multiply
   288,892.50x = 416,124 × 416,124
4. Step 4: Simplify right side
   288,892.50x = 173,159,183,376
5. Step 5: Solve for x
   x = 173,159,183,376/288,892.50
6. Step 6: Final answer
   x = 599,389.68