Finding the Third Proportional to 156.38 and 259.38

Step by Step Solution

1. Step 1: Write the proportion equation
   156.38 : 259.38 = 259.38 : x
2. Step 2: Convert to fraction form
   156.38/259.38 = 259.38/x
3. Step 3: Cross multiply
   156.38x = 259.38 × 259.38
4. Step 4: Simplify right side
   156.38x = 67,275.39
5. Step 5: Solve for x
   x = 67,275.39/156.38
6. Step 6: Final answer
   x = 430.22