Finding the Third Proportional to 82,159 and 123,825

Step by Step Solution

1. Step 1: Write the proportion equation
   82,159 : 123,825 = 123,825 : x
2. Step 2: Convert to fraction form
   82,159/123,825 = 123,825/x
3. Step 3: Cross multiply
   82,159x = 123,825 × 123,825
4. Step 4: Simplify right side
   82,159x = 15,332,630,625
5. Step 5: Solve for x
   x = 15,332,630,625/82,159
6. Step 6: Final answer
   x = 186,621.44