Finding the Third Proportional to 41,424 and 89,850

Step by Step Solution

1. Step 1: Write the proportion equation
   41,424 : 89,850 = 89,850 : x
2. Step 2: Convert to fraction form
   41,424/89,850 = 89,850/x
3. Step 3: Cross multiply
   41,424x = 89,850 × 89,850
4. Step 4: Simplify right side
   41,424x = 8,073,022,500
5. Step 5: Solve for x
   x = 8,073,022,500/41,424
6. Step 6: Final answer
   x = 194,887.57