Finding the Third Proportional to 152.06 and 301.13

Step by Step Solution

1. Step 1: Write the proportion equation
   152.06 : 301.13 = 301.13 : x
2. Step 2: Convert to fraction form
   152.06/301.13 = 301.13/x
3. Step 3: Cross multiply
   152.06x = 301.13 × 301.13
4. Step 4: Simplify right side
   152.06x = 90,676.27
5. Step 5: Solve for x
   x = 90,676.27/152.06
6. Step 6: Final answer
   x = 596.31