Finding the Third Proportional to 152,874 and 220,196

Step by Step Solution

1. Step 1: Write the proportion equation
   152,874 : 220,196 = 220,196 : x
2. Step 2: Convert to fraction form
   152,874/220,196 = 220,196/x
3. Step 3: Cross multiply
   152,874x = 220,196 × 220,196
4. Step 4: Simplify right side
   152,874x = 48,486,278,416
5. Step 5: Solve for x
   x = 48,486,278,416/152,874
6. Step 6: Final answer
   x = 317,164.98