Finding the Third Proportional to 82,123 and 123,549

Step by Step Solution

1. Step 1: Write the proportion equation
   82,123 : 123,549 = 123,549 : x
2. Step 2: Convert to fraction form
   82,123/123,549 = 123,549/x
3. Step 3: Cross multiply
   82,123x = 123,549 × 123,549
4. Step 4: Simplify right side
   82,123x = 15,264,355,401
5. Step 5: Solve for x
   x = 15,264,355,401/82,123
6. Step 6: Final answer
   x = 185,871.87