Finding the Third Proportional to 69.23 and 152.20

Step by Step Solution

1. Step 1: Write the proportion equation
   69.23 : 152.20 = 152.20 : x
2. Step 2: Convert to fraction form
   69.23/152.20 = 152.20/x
3. Step 3: Cross multiply
   69.23x = 152.20 × 152.20
4. Step 4: Simplify right side
   69.23x = 23,165.79
5. Step 5: Solve for x
   x = 23,165.79/69.23
6. Step 6: Final answer
   x = 334.60