Finding the Third Proportional to 130.31 and 187.78

Step by Step Solution

1. Step 1: Write the proportion equation
   130.31 : 187.78 = 187.78 : x
2. Step 2: Convert to fraction form
   130.31/187.78 = 187.78/x
3. Step 3: Cross multiply
   130.31x = 187.78 × 187.78
4. Step 4: Simplify right side
   130.31x = 35,261.80
5. Step 5: Solve for x
   x = 35,261.80/130.31
6. Step 6: Final answer
   x = 270.59