Finding the Third Proportional to 526.31 and 600.56

Step by Step Solution

1. Step 1: Write the proportion equation
   526.31 : 600.56 = 600.56 : x
2. Step 2: Convert to fraction form
   526.31/600.56 = 600.56/x
3. Step 3: Cross multiply
   526.31x = 600.56 × 600.56
4. Step 4: Simplify right side
   526.31x = 360,675.32
5. Step 5: Solve for x
   x = 360,675.32/526.31
6. Step 6: Final answer
   x = 685.29