Finding the Third Proportional to 41,644 and 89,236

Step by Step Solution

1. Step 1: Write the proportion equation
   41,644 : 89,236 = 89,236 : x
2. Step 2: Convert to fraction form
   41,644/89,236 = 89,236/x
3. Step 3: Cross multiply
   41,644x = 89,236 × 89,236
4. Step 4: Simplify right side
   41,644x = 7,963,063,696
5. Step 5: Solve for x
   x = 7,963,063,696/41,644
6. Step 6: Final answer
   x = 191,217.55