Finding the Third Proportional to 41,126 and 85,484

Step by Step Solution

1. Step 1: Write the proportion equation
   41,126 : 85,484 = 85,484 : x
2. Step 2: Convert to fraction form
   41,126/85,484 = 85,484/x
3. Step 3: Cross multiply
   41,126x = 85,484 × 85,484
4. Step 4: Simplify right side
   41,126x = 7,307,514,256
5. Step 5: Solve for x
   x = 7,307,514,256/41,126
6. Step 6: Final answer
   x = 177,686.00