Finding the Third Proportional to 82,155 and 123,597

Step by Step Solution

1. Step 1: Write the proportion equation
   82,155 : 123,597 = 123,597 : x
2. Step 2: Convert to fraction form
   82,155/123,597 = 123,597/x
3. Step 3: Cross multiply
   82,155x = 123,597 × 123,597
4. Step 4: Simplify right side
   82,155x = 15,276,218,409
5. Step 5: Solve for x
   x = 15,276,218,409/82,155
6. Step 6: Final answer
   x = 185,943.87