Finding the Third Proportional to 41,080 and 89,624

Step by Step Solution

1. Step 1: Write the proportion equation
   41,080 : 89,624 = 89,624 : x
2. Step 2: Convert to fraction form
   41,080/89,624 = 89,624/x
3. Step 3: Cross multiply
   41,080x = 89,624 × 89,624
4. Step 4: Simplify right side
   41,080x = 8,032,461,376
5. Step 5: Solve for x
   x = 8,032,461,376/41,080
6. Step 6: Final answer
   x = 195,532.17