Finding the Third Proportional to 137.32 and 287.51

Step by Step Solution

1. Step 1: Write the proportion equation
   137.32 : 287.51 = 287.51 : x
2. Step 2: Convert to fraction form
   137.32/287.51 = 287.51/x
3. Step 3: Cross multiply
   137.32x = 287.51 × 287.51
4. Step 4: Simplify right side
   137.32x = 82,660.74
5. Step 5: Solve for x
   x = 82,660.74/137.32
6. Step 6: Final answer
   x = 601.96