Finding the Third Proportional to 41,106 and 88,026

Step by Step Solution

1. Step 1: Write the proportion equation
   41,106 : 88,026 = 88,026 : x
2. Step 2: Convert to fraction form
   41,106/88,026 = 88,026/x
3. Step 3: Cross multiply
   41,106x = 88,026 × 88,026
4. Step 4: Simplify right side
   41,106x = 7,748,576,676
5. Step 5: Solve for x
   x = 7,748,576,676/41,106
6. Step 6: Final answer
   x = 188,502.33