Finding the Third Proportional to 41,140 and 89,480

Step by Step Solution

1. Step 1: Write the proportion equation
   41,140 : 89,480 = 89,480 : x
2. Step 2: Convert to fraction form
   41,140/89,480 = 89,480/x
3. Step 3: Cross multiply
   41,140x = 89,480 × 89,480
4. Step 4: Simplify right side
   41,140x = 8,006,670,400
5. Step 5: Solve for x
   x = 8,006,670,400/41,140
6. Step 6: Final answer
   x = 194,620.09