Finding the Third Proportional to 233.06 and 510.56

Step by Step Solution

1. Step 1: Write the proportion equation
   233.06 : 510.56 = 510.56 : x
2. Step 2: Convert to fraction form
   233.06/510.56 = 510.56/x
3. Step 3: Cross multiply
   233.06x = 510.56 × 510.56
4. Step 4: Simplify right side
   233.06x = 260,674.07
5. Step 5: Solve for x
   x = 260,674.07/233.06
6. Step 6: Final answer
   x = 1,118.47