Finding the Third Proportional to 41,324 and 89,516

Step by Step Solution

1. Step 1: Write the proportion equation
   41,324 : 89,516 = 89,516 : x
2. Step 2: Convert to fraction form
   41,324/89,516 = 89,516/x
3. Step 3: Cross multiply
   41,324x = 89,516 × 89,516
4. Step 4: Simplify right side
   41,324x = 8,013,114,256
5. Step 5: Solve for x
   x = 8,013,114,256/41,324
6. Step 6: Final answer
   x = 193,909.45