Finding the Third Proportional to 116.02 and 179.93

Step by Step Solution

1. Step 1: Write the proportion equation
   116.02 : 179.93 = 179.93 : x
2. Step 2: Convert to fraction form
   116.02/179.93 = 179.93/x
3. Step 3: Cross multiply
   116.02x = 179.93 × 179.93
4. Step 4: Simplify right side
   116.02x = 32,374.69
5. Step 5: Solve for x
   x = 32,374.69/116.02
6. Step 6: Final answer
   x = 279.05