Finding the Third Proportional to 511.50 and 1,196

Step by Step Solution

1. Step 1: Write the proportion equation
   511.50 : 1,196 = 1,196 : x
2. Step 2: Convert to fraction form
   511.50/1,196 = 1,196/x
3. Step 3: Cross multiply
   511.50x = 1,196 × 1,196
4. Step 4: Simplify right side
   511.50x = 1,430,416
5. Step 5: Solve for x
   x = 1,430,416/511.50
6. Step 6: Final answer
   x = 2,796.51