Finding the Third Proportional to 147.52 and 323.05

Step by Step Solution

1. Step 1: Write the proportion equation
   147.52 : 323.05 = 323.05 : x
2. Step 2: Convert to fraction form
   147.52/323.05 = 323.05/x
3. Step 3: Cross multiply
   147.52x = 323.05 × 323.05
4. Step 4: Simplify right side
   147.52x = 104,361.81
5. Step 5: Solve for x
   x = 104,361.81/147.52
6. Step 6: Final answer
   x = 707.42