Finding the Third Proportional to 150.88 and 314.69

Step by Step Solution

1. Step 1: Write the proportion equation
   150.88 : 314.69 = 314.69 : x
2. Step 2: Convert to fraction form
   150.88/314.69 = 314.69/x
3. Step 3: Cross multiply
   150.88x = 314.69 × 314.69
4. Step 4: Simplify right side
   150.88x = 99,028.22
5. Step 5: Solve for x
   x = 99,028.22/150.88
6. Step 6: Final answer
   x = 656.36