Finding the Third Proportional to 162.50 and 332.56

Step by Step Solution

1. Step 1: Write the proportion equation
   162.50 : 332.56 = 332.56 : x
2. Step 2: Convert to fraction form
   162.50/332.56 = 332.56/x
3. Step 3: Cross multiply
   162.50x = 332.56 × 332.56
4. Step 4: Simplify right side
   162.50x = 110,597.82
5. Step 5: Solve for x
   x = 110,597.82/162.50
6. Step 6: Final answer
   x = 680.60