Finding the Third Proportional to 82,670 and 123,771

Step by Step Solution

1. Step 1: Write the proportion equation
   82,670 : 123,771 = 123,771 : x
2. Step 2: Convert to fraction form
   82,670/123,771 = 123,771/x
3. Step 3: Cross multiply
   82,670x = 123,771 × 123,771
4. Step 4: Simplify right side
   82,670x = 15,319,260,441
5. Step 5: Solve for x
   x = 15,319,260,441/82,670
6. Step 6: Final answer
   x = 185,306.16