Finding the Third Proportional to 80,700 and 175,416

Step by Step Solution

1. Step 1: Write the proportion equation
   80,700 : 175,416 = 175,416 : x
2. Step 2: Convert to fraction form
   80,700/175,416 = 175,416/x
3. Step 3: Cross multiply
   80,700x = 175,416 × 175,416
4. Step 4: Simplify right side
   80,700x = 30,770,773,056
5. Step 5: Solve for x
   x = 30,770,773,056/80,700
6. Step 6: Final answer
   x = 381,298.30