Finding the Third Proportional to 82,416 and 176,500

Step by Step Solution

1. Step 1: Write the proportion equation
   82,416 : 176,500 = 176,500 : x
2. Step 2: Convert to fraction form
   82,416/176,500 = 176,500/x
3. Step 3: Cross multiply
   82,416x = 176,500 × 176,500
4. Step 4: Simplify right side
   82,416x = 31,152,250,000
5. Step 5: Solve for x
   x = 31,152,250,000/82,416
6. Step 6: Final answer
   x = 377,987.89