Finding the Third Proportional to 152.63 and 335.69

Step by Step Solution

1. Step 1: Write the proportion equation
   152.63 : 335.69 = 335.69 : x
2. Step 2: Convert to fraction form
   152.63/335.69 = 335.69/x
3. Step 3: Cross multiply
   152.63x = 335.69 × 335.69
4. Step 4: Simplify right side
   152.63x = 112,686.10
5. Step 5: Solve for x
   x = 112,686.10/152.63
6. Step 6: Final answer
   x = 738.32