Finding the Third Proportional to 41,648 and 88,126

Step by Step Solution

1. Step 1: Write the proportion equation
   41,648 : 88,126 = 88,126 : x
2. Step 2: Convert to fraction form
   41,648/88,126 = 88,126/x
3. Step 3: Cross multiply
   41,648x = 88,126 × 88,126
4. Step 4: Simplify right side
   41,648x = 7,766,191,876
5. Step 5: Solve for x
   x = 7,766,191,876/41,648
6. Step 6: Final answer
   x = 186,472.14