Finding the Third Proportional to 41,882 and 89,830

Step by Step Solution

1. Step 1: Write the proportion equation
   41,882 : 89,830 = 89,830 : x
2. Step 2: Convert to fraction form
   41,882/89,830 = 89,830/x
3. Step 3: Cross multiply
   41,882x = 89,830 × 89,830
4. Step 4: Simplify right side
   41,882x = 8,069,428,900
5. Step 5: Solve for x
   x = 8,069,428,900/41,882
6. Step 6: Final answer
   x = 192,670.57