Finding the Third Proportional to 152.61 and 334.34

Step by Step Solution

1. Step 1: Write the proportion equation
   152.61 : 334.34 = 334.34 : x
2. Step 2: Convert to fraction form
   152.61/334.34 = 334.34/x
3. Step 3: Cross multiply
   152.61x = 334.34 × 334.34
4. Step 4: Simplify right side
   152.61x = 111,780.52
5. Step 5: Solve for x
   x = 111,780.52/152.61
6. Step 6: Final answer
   x = 732.44