Finding the Third Proportional to 41,624 and 89,899

Step by Step Solution

1. Step 1: Write the proportion equation
   41,624 : 89,899 = 89,899 : x
2. Step 2: Convert to fraction form
   41,624/89,899 = 89,899/x
3. Step 3: Cross multiply
   41,624x = 89,899 × 89,899
4. Step 4: Simplify right side
   41,624x = 8,081,830,201
5. Step 5: Solve for x
   x = 8,081,830,201/41,624
6. Step 6: Final answer
   x = 194,162.75