Finding the Third Proportional to 41,620 and 89,195

Step by Step Solution

1. Step 1: Write the proportion equation
   41,620 : 89,195 = 89,195 : x
2. Step 2: Convert to fraction form
   41,620/89,195 = 89,195/x
3. Step 3: Cross multiply
   41,620x = 89,195 × 89,195
4. Step 4: Simplify right side
   41,620x = 7,955,748,025
5. Step 5: Solve for x
   x = 7,955,748,025/41,620
6. Step 6: Final answer
   x = 191,152.04