Finding the Third Proportional to 166.50 and 410.63

Step by Step Solution

1. Step 1: Write the proportion equation
   166.50 : 410.63 = 410.63 : x
2. Step 2: Convert to fraction form
   166.50/410.63 = 410.63/x
3. Step 3: Cross multiply
   166.50x = 410.63 × 410.63
4. Step 4: Simplify right side
   166.50x = 168,612.89
5. Step 5: Solve for x
   x = 168,612.89/166.50
6. Step 6: Final answer
   x = 1,012.69