Finding the Third Proportional to 41,762 and 87,898

Step by Step Solution

1. Step 1: Write the proportion equation
   41,762 : 87,898 = 87,898 : x
2. Step 2: Convert to fraction form
   41,762/87,898 = 87,898/x
3. Step 3: Cross multiply
   41,762x = 87,898 × 87,898
4. Step 4: Simplify right side
   41,762x = 7,726,058,404
5. Step 5: Solve for x
   x = 7,726,058,404/41,762
6. Step 6: Final answer
   x = 185,002.12