Finding the Third Proportional to 116.38 and 184.88

Step by Step Solution

1. Step 1: Write the proportion equation
   116.38 : 184.88 = 184.88 : x
2. Step 2: Convert to fraction form
   116.38/184.88 = 184.88/x
3. Step 3: Cross multiply
   116.38x = 184.88 × 184.88
4. Step 4: Simplify right side
   116.38x = 34,178.77
5. Step 5: Solve for x
   x = 34,178.77/116.38
6. Step 6: Final answer
   x = 293.70