Finding the Third Proportional to 147.52 and 317.39

Step by Step Solution

1. Step 1: Write the proportion equation
   147.52 : 317.39 = 317.39 : x
2. Step 2: Convert to fraction form
   147.52/317.39 = 317.39/x
3. Step 3: Cross multiply
   147.52x = 317.39 × 317.39
4. Step 4: Simplify right side
   147.52x = 100,736.81
5. Step 5: Solve for x
   x = 100,736.81/147.52
6. Step 6: Final answer
   x = 682.89