Finding the Third Proportional to 77.63 and 166.59

Step by Step Solution

1. Step 1: Write the proportion equation
   77.63 : 166.59 = 166.59 : x
2. Step 2: Convert to fraction form
   77.63/166.59 = 166.59/x
3. Step 3: Cross multiply
   77.63x = 166.59 × 166.59
4. Step 4: Simplify right side
   77.63x = 27,753.48
5. Step 5: Solve for x
   x = 27,753.48/77.63
6. Step 6: Final answer
   x = 357.53