Finding the Third Proportional to 261.56 and 372.56

Step by Step Solution

1. Step 1: Write the proportion equation
   261.56 : 372.56 = 372.56 : x
2. Step 2: Convert to fraction form
   261.56/372.56 = 372.56/x
3. Step 3: Cross multiply
   261.56x = 372.56 × 372.56
4. Step 4: Simplify right side
   261.56x = 138,802.82
5. Step 5: Solve for x
   x = 138,802.82/261.56
6. Step 6: Final answer
   x = 530.67