Finding the Third Proportional to 152.30 and 183.30

Step by Step Solution

1. Step 1: Write the proportion equation
   152.30 : 183.30 = 183.30 : x
2. Step 2: Convert to fraction form
   152.30/183.30 = 183.30/x
3. Step 3: Cross multiply
   152.30x = 183.30 × 183.30
4. Step 4: Simplify right side
   152.30x = 33,600.61
5. Step 5: Solve for x
   x = 33,600.61/152.30
6. Step 6: Final answer
   x = 220.63