Finding the Third Proportional to 82,429.50 and 176,520

Step by Step Solution

1. Step 1: Write the proportion equation
   82,429.50 : 176,520 = 176,520 : x
2. Step 2: Convert to fraction form
   82,429.50/176,520 = 176,520/x
3. Step 3: Cross multiply
   82,429.50x = 176,520 × 176,520
4. Step 4: Simplify right side
   82,429.50x = 31,159,310,400
5. Step 5: Solve for x
   x = 31,159,310,400/82,429.50
6. Step 6: Final answer
   x = 378,011.64