Finding the Third Proportional to 166.31 and 280.03

Step by Step Solution

1. Step 1: Write the proportion equation
   166.31 : 280.03 = 280.03 : x
2. Step 2: Convert to fraction form
   166.31/280.03 = 280.03/x
3. Step 3: Cross multiply
   166.31x = 280.03 × 280.03
4. Step 4: Simplify right side
   166.31x = 78,417.50
5. Step 5: Solve for x
   x = 78,417.50/166.31
6. Step 6: Final answer
   x = 471.51