Finding the Third Proportional to 41,830 and 89,478

Step by Step Solution

1. Step 1: Write the proportion equation
   41,830 : 89,478 = 89,478 : x
2. Step 2: Convert to fraction form
   41,830/89,478 = 89,478/x
3. Step 3: Cross multiply
   41,830x = 89,478 × 89,478
4. Step 4: Simplify right side
   41,830x = 8,006,312,484
5. Step 5: Solve for x
   x = 8,006,312,484/41,830
6. Step 6: Final answer
   x = 191,401.21