Finding the Third Proportional to 82,212 and 177,516

Step by Step Solution

1. Step 1: Write the proportion equation
   82,212 : 177,516 = 177,516 : x
2. Step 2: Convert to fraction form
   82,212/177,516 = 177,516/x
3. Step 3: Cross multiply
   82,212x = 177,516 × 177,516
4. Step 4: Simplify right side
   82,212x = 31,511,930,256
5. Step 5: Solve for x
   x = 31,511,930,256/82,212
6. Step 6: Final answer
   x = 383,300.86