Finding the Third Proportional to 152.25 and 235.69

Step by Step Solution

1. Step 1: Write the proportion equation
   152.25 : 235.69 = 235.69 : x
2. Step 2: Convert to fraction form
   152.25/235.69 = 235.69/x
3. Step 3: Cross multiply
   152.25x = 235.69 × 235.69
4. Step 4: Simplify right side
   152.25x = 55,548.60
5. Step 5: Solve for x
   x = 55,548.60/152.25
6. Step 6: Final answer
   x = 364.85