Finding the Third Proportional to 82,227 and 123,341

Step by Step Solution

1. Step 1: Write the proportion equation
   82,227 : 123,341 = 123,341 : x
2. Step 2: Convert to fraction form
   82,227/123,341 = 123,341/x
3. Step 3: Cross multiply
   82,227x = 123,341 × 123,341
4. Step 4: Simplify right side
   82,227x = 15,213,002,281
5. Step 5: Solve for x
   x = 15,213,002,281/82,227
6. Step 6: Final answer
   x = 185,012.25