Finding the Third Proportional to 82,353 and 123,171

Step by Step Solution

1. Step 1: Write the proportion equation
   82,353 : 123,171 = 123,171 : x
2. Step 2: Convert to fraction form
   82,353/123,171 = 123,171/x
3. Step 3: Cross multiply
   82,353x = 123,171 × 123,171
4. Step 4: Simplify right side
   82,353x = 15,171,095,241
5. Step 5: Solve for x
   x = 15,171,095,241/82,353
6. Step 6: Final answer
   x = 184,220.31