Finding the Third Proportional to 152.30 and 338.34

Step by Step Solution

1. Step 1: Write the proportion equation
   152.30 : 338.34 = 338.34 : x
2. Step 2: Convert to fraction form
   152.30/338.34 = 338.34/x
3. Step 3: Cross multiply
   152.30x = 338.34 × 338.34
4. Step 4: Simplify right side
   152.30x = 114,476.49
5. Step 5: Solve for x
   x = 114,476.49/152.30
6. Step 6: Final answer
   x = 751.67