Finding the Third Proportional to 89,317 and 191,585

Step by Step Solution

1. Step 1: Write the proportion equation
   89,317 : 191,585 = 191,585 : x
2. Step 2: Convert to fraction form
   89,317/191,585 = 191,585/x
3. Step 3: Cross multiply
   89,317x = 191,585 × 191,585
4. Step 4: Simplify right side
   89,317x = 36,704,812,225
5. Step 5: Solve for x
   x = 36,704,812,225/89,317
6. Step 6: Final answer
   x = 410,949.90