Finding the Third Proportional to 152.25 and 242.25

Step by Step Solution

1. Step 1: Write the proportion equation
   152.25 : 242.25 = 242.25 : x
2. Step 2: Convert to fraction form
   152.25/242.25 = 242.25/x
3. Step 3: Cross multiply
   152.25x = 242.25 × 242.25
4. Step 4: Simplify right side
   152.25x = 58,685.06
5. Step 5: Solve for x
   x = 58,685.06/152.25
6. Step 6: Final answer
   x = 385.45