Finding the Third Proportional to 137.91 and 287.16

Step by Step Solution

1. Step 1: Write the proportion equation
   137.91 : 287.16 = 287.16 : x
2. Step 2: Convert to fraction form
   137.91/287.16 = 287.16/x
3. Step 3: Cross multiply
   137.91x = 287.16 × 287.16
4. Step 4: Simplify right side
   137.91x = 82,458.71
5. Step 5: Solve for x
   x = 82,458.71/137.91
6. Step 6: Final answer
   x = 597.93