Finding the Third Proportional to 40,901 and 89,203

Step by Step Solution

1. Step 1: Write the proportion equation
   40,901 : 89,203 = 89,203 : x
2. Step 2: Convert to fraction form
   40,901/89,203 = 89,203/x
3. Step 3: Cross multiply
   40,901x = 89,203 × 89,203
4. Step 4: Simplify right side
   40,901x = 7,957,175,209
5. Step 5: Solve for x
   x = 7,957,175,209/40,901
6. Step 6: Final answer
   x = 194,547.20