Finding the Third Proportional to 82,197 and 123,390

Step by Step Solution

1. Step 1: Write the proportion equation
   82,197 : 123,390 = 123,390 : x
2. Step 2: Convert to fraction form
   82,197/123,390 = 123,390/x
3. Step 3: Cross multiply
   82,197x = 123,390 × 123,390
4. Step 4: Simplify right side
   82,197x = 15,225,092,100
5. Step 5: Solve for x
   x = 15,225,092,100/82,197
6. Step 6: Final answer
   x = 185,226.86