Finding the Third Proportional to 82,416 and 168,748

Step by Step Solution

1. Step 1: Write the proportion equation
   82,416 : 168,748 = 168,748 : x
2. Step 2: Convert to fraction form
   82,416/168,748 = 168,748/x
3. Step 3: Cross multiply
   82,416x = 168,748 × 168,748
4. Step 4: Simplify right side
   82,416x = 28,475,887,504
5. Step 5: Solve for x
   x = 28,475,887,504/82,416
6. Step 6: Final answer
   x = 345,514.07