Finding the Third Proportional to 82,552 and 180,928

Step by Step Solution

1. Step 1: Write the proportion equation
   82,552 : 180,928 = 180,928 : x
2. Step 2: Convert to fraction form
   82,552/180,928 = 180,928/x
3. Step 3: Cross multiply
   82,552x = 180,928 × 180,928
4. Step 4: Simplify right side
   82,552x = 32,734,941,184
5. Step 5: Solve for x
   x = 32,734,941,184/82,552
6. Step 6: Final answer
   x = 396,537.23