Finding the Third Proportional to 69.92 and 152.83

Step by Step Solution

1. Step 1: Write the proportion equation
   69.92 : 152.83 = 152.83 : x
2. Step 2: Convert to fraction form
   69.92/152.83 = 152.83/x
3. Step 3: Cross multiply
   69.92x = 152.83 × 152.83
4. Step 4: Simplify right side
   69.92x = 23,356.44
5. Step 5: Solve for x
   x = 23,356.44/69.92
6. Step 6: Final answer
   x = 334.04