Finding the Third Proportional to 137.31 and 302.12

Step by Step Solution

1. Step 1: Write the proportion equation
   137.31 : 302.12 = 302.12 : x
2. Step 2: Convert to fraction form
   137.31/302.12 = 302.12/x
3. Step 3: Cross multiply
   137.31x = 302.12 × 302.12
4. Step 4: Simplify right side
   137.31x = 91,275.61
5. Step 5: Solve for x
   x = 91,275.61/137.31
6. Step 6: Final answer
   x = 664.74