Finding the Third Proportional to 148.92 and 314.30

Step by Step Solution

1. Step 1: Write the proportion equation
   148.92 : 314.30 = 314.30 : x
2. Step 2: Convert to fraction form
   148.92/314.30 = 314.30/x
3. Step 3: Cross multiply
   148.92x = 314.30 × 314.30
4. Step 4: Simplify right side
   148.92x = 98,782.53
5. Step 5: Solve for x
   x = 98,782.53/148.92
6. Step 6: Final answer
   x = 663.32