Finding the Third Proportional to 40,952 and 89,314

Step by Step Solution

1. Step 1: Write the proportion equation
   40,952 : 89,314 = 89,314 : x
2. Step 2: Convert to fraction form
   40,952/89,314 = 89,314/x
3. Step 3: Cross multiply
   40,952x = 89,314 × 89,314
4. Step 4: Simplify right side
   40,952x = 7,976,990,596
5. Step 5: Solve for x
   x = 7,976,990,596/40,952
6. Step 6: Final answer
   x = 194,788.79