Finding the Third Proportional to 137.64 and 300.43

Step by Step Solution

1. Step 1: Write the proportion equation
   137.64 : 300.43 = 300.43 : x
2. Step 2: Convert to fraction form
   137.64/300.43 = 300.43/x
3. Step 3: Cross multiply
   137.64x = 300.43 × 300.43
4. Step 4: Simplify right side
   137.64x = 90,256.82
5. Step 5: Solve for x
   x = 90,256.82/137.64
6. Step 6: Final answer
   x = 655.76