Finding the Third Proportional to 40,566 and 89,124

Step by Step Solution

1. Step 1: Write the proportion equation
   40,566 : 89,124 = 89,124 : x
2. Step 2: Convert to fraction form
   40,566/89,124 = 89,124/x
3. Step 3: Cross multiply
   40,566x = 89,124 × 89,124
4. Step 4: Simplify right side
   40,566x = 7,943,087,376
5. Step 5: Solve for x
   x = 7,943,087,376/40,566
6. Step 6: Final answer
   x = 195,806.52