Finding the Third Proportional to 148.69 and 314.06

Step by Step Solution

1. Step 1: Write the proportion equation
   148.69 : 314.06 = 314.06 : x
2. Step 2: Convert to fraction form
   148.69/314.06 = 314.06/x
3. Step 3: Cross multiply
   148.69x = 314.06 × 314.06
4. Step 4: Simplify right side
   148.69x = 98,635.25
5. Step 5: Solve for x
   x = 98,635.25/148.69
6. Step 6: Final answer
   x = 663.37