Finding the Third Proportional to 597.56 and 726.56

Step by Step Solution

1. Step 1: Write the proportion equation
   597.56 : 726.56 = 726.56 : x
2. Step 2: Convert to fraction form
   597.56/726.56 = 726.56/x
3. Step 3: Cross multiply
   597.56x = 726.56 × 726.56
4. Step 4: Simplify right side
   597.56x = 527,893.07
5. Step 5: Solve for x
   x = 527,893.07/597.56
6. Step 6: Final answer
   x = 883.41