Finding the Third Proportional to 222.83 and 511.15

Step by Step Solution

1. Step 1: Write the proportion equation
   222.83 : 511.15 = 511.15 : x
2. Step 2: Convert to fraction form
   222.83/511.15 = 511.15/x
3. Step 3: Cross multiply
   222.83x = 511.15 × 511.15
4. Step 4: Simplify right side
   222.83x = 261,278.72
5. Step 5: Solve for x
   x = 261,278.72/222.83
6. Step 6: Final answer
   x = 1,172.55