Finding the Third Proportional to 145.78 and 376.59

Step by Step Solution

1. Step 1: Write the proportion equation
   145.78 : 376.59 = 376.59 : x
2. Step 2: Convert to fraction form
   145.78/376.59 = 376.59/x
3. Step 3: Cross multiply
   145.78x = 376.59 × 376.59
4. Step 4: Simplify right side
   145.78x = 141,822.85
5. Step 5: Solve for x
   x = 141,822.85/145.78
6. Step 6: Final answer
   x = 972.85