Finding the Third Proportional to 233.86 and 510.98

Step by Step Solution

1. Step 1: Write the proportion equation
   233.86 : 510.98 = 510.98 : x
2. Step 2: Convert to fraction form
   233.86/510.98 = 510.98/x
3. Step 3: Cross multiply
   233.86x = 510.98 × 510.98
4. Step 4: Simplify right side
   233.86x = 261,096.80
5. Step 5: Solve for x
   x = 261,096.80/233.86
6. Step 6: Final answer
   x = 1,116.45