Finding the Third Proportional to 41,418 and 89,835.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,418 : 89,835.75 = 89,835.75 : x
2. Step 2: Convert to fraction form
   41,418/89,835.75 = 89,835.75/x
3. Step 3: Cross multiply
   41,418x = 89,835.75 × 89,835.75
4. Step 4: Simplify right side
   41,418x = 8,070,461,978.06
5. Step 5: Solve for x
   x = 8,070,461,978.06/41,418
6. Step 6: Final answer
   x = 194,853.98