Finding the Third Proportional to 82,921.50 and 177,669

Step by Step Solution

1. Step 1: Write the proportion equation
   82,921.50 : 177,669 = 177,669 : x
2. Step 2: Convert to fraction form
   82,921.50/177,669 = 177,669/x
3. Step 3: Cross multiply
   82,921.50x = 177,669 × 177,669
4. Step 4: Simplify right side
   82,921.50x = 31,566,273,561
5. Step 5: Solve for x
   x = 31,566,273,561/82,921.50
6. Step 6: Final answer
   x = 380,676.59