Finding the Third Proportional to 114,882 and 171,630

Step by Step Solution

1. Step 1: Write the proportion equation
   114,882 : 171,630 = 171,630 : x
2. Step 2: Convert to fraction form
   114,882/171,630 = 171,630/x
3. Step 3: Cross multiply
   114,882x = 171,630 × 171,630
4. Step 4: Simplify right side
   114,882x = 29,456,856,900
5. Step 5: Solve for x
   x = 29,456,856,900/114,882
6. Step 6: Final answer
   x = 256,409.68