Finding the Third Proportional to 82,424 and 176,516

Step by Step Solution

1. Step 1: Write the proportion equation
   82,424 : 176,516 = 176,516 : x
2. Step 2: Convert to fraction form
   82,424/176,516 = 176,516/x
3. Step 3: Cross multiply
   82,424x = 176,516 × 176,516
4. Step 4: Simplify right side
   82,424x = 31,157,898,256
5. Step 5: Solve for x
   x = 31,157,898,256/82,424
6. Step 6: Final answer
   x = 378,019.73