Finding the Third Proportional to 156.52 and 209.04

Step by Step Solution

1. Step 1: Write the proportion equation
   156.52 : 209.04 = 209.04 : x
2. Step 2: Convert to fraction form
   156.52/209.04 = 209.04/x
3. Step 3: Cross multiply
   156.52x = 209.04 × 209.04
4. Step 4: Simplify right side
   156.52x = 43,697.33
5. Step 5: Solve for x
   x = 43,697.33/156.52
6. Step 6: Final answer
   x = 279.19