Finding the Third Proportional to 76.06 and 178.59

Step by Step Solution

1. Step 1: Write the proportion equation
   76.06 : 178.59 = 178.59 : x
2. Step 2: Convert to fraction form
   76.06/178.59 = 178.59/x
3. Step 3: Cross multiply
   76.06x = 178.59 × 178.59
4. Step 4: Simplify right side
   76.06x = 31,895.73
5. Step 5: Solve for x
   x = 31,895.73/76.06
6. Step 6: Final answer
   x = 419.34