Finding the Third Proportional to 41,114 and 88,466

Step by Step Solution

1. Step 1: Write the proportion equation
   41,114 : 88,466 = 88,466 : x
2. Step 2: Convert to fraction form
   41,114/88,466 = 88,466/x
3. Step 3: Cross multiply
   41,114x = 88,466 × 88,466
4. Step 4: Simplify right side
   41,114x = 7,826,233,156
5. Step 5: Solve for x
   x = 7,826,233,156/41,114
6. Step 6: Final answer
   x = 190,354.46