Finding the Third Proportional to 82,373 and 179,853

Step by Step Solution

1. Step 1: Write the proportion equation
   82,373 : 179,853 = 179,853 : x
2. Step 2: Convert to fraction form
   82,373/179,853 = 179,853/x
3. Step 3: Cross multiply
   82,373x = 179,853 × 179,853
4. Step 4: Simplify right side
   82,373x = 32,347,101,609
5. Step 5: Solve for x
   x = 32,347,101,609/82,373
6. Step 6: Final answer
   x = 392,690.59