Finding the Third Proportional to 119.67 and 152.30

Step by Step Solution

1. Step 1: Write the proportion equation
   119.67 : 152.30 = 152.30 : x
2. Step 2: Convert to fraction form
   119.67/152.30 = 152.30/x
3. Step 3: Cross multiply
   119.67x = 152.30 × 152.30
4. Step 4: Simplify right side
   119.67x = 23,194.34
5. Step 5: Solve for x
   x = 23,194.34/119.67
6. Step 6: Final answer
   x = 193.82