Finding the Third Proportional to 116.50 and 152.38

Step by Step Solution

1. Step 1: Write the proportion equation
   116.50 : 152.38 = 152.38 : x
2. Step 2: Convert to fraction form
   116.50/152.38 = 152.38/x
3. Step 3: Cross multiply
   116.50x = 152.38 × 152.38
4. Step 4: Simplify right side
   116.50x = 23,218.14
5. Step 5: Solve for x
   x = 23,218.14/116.50
6. Step 6: Final answer
   x = 199.30