Finding the Third Proportional to 151.50 and 278.25

Step by Step Solution

1. Step 1: Write the proportion equation
   151.50 : 278.25 = 278.25 : x
2. Step 2: Convert to fraction form
   151.50/278.25 = 278.25/x
3. Step 3: Cross multiply
   151.50x = 278.25 × 278.25
4. Step 4: Simplify right side
   151.50x = 77,423.06
5. Step 5: Solve for x
   x = 77,423.06/151.50
6. Step 6: Final answer
   x = 511.04