Finding the Third Proportional to 41,643 and 89,940

Step by Step Solution

1. Step 1: Write the proportion equation
   41,643 : 89,940 = 89,940 : x
2. Step 2: Convert to fraction form
   41,643/89,940 = 89,940/x
3. Step 3: Cross multiply
   41,643x = 89,940 × 89,940
4. Step 4: Simplify right side
   41,643x = 8,089,203,600
5. Step 5: Solve for x
   x = 8,089,203,600/41,643
6. Step 6: Final answer
   x = 194,251.22