Finding the Third Proportional to 82,384 and 123,292

Step by Step Solution

1. Step 1: Write the proportion equation
   82,384 : 123,292 = 123,292 : x
2. Step 2: Convert to fraction form
   82,384/123,292 = 123,292/x
3. Step 3: Cross multiply
   82,384x = 123,292 × 123,292
4. Step 4: Simplify right side
   82,384x = 15,200,917,264
5. Step 5: Solve for x
   x = 15,200,917,264/82,384
6. Step 6: Final answer
   x = 184,512.98