Finding the Third Proportional to 499.69 and 1,167.06

Step by Step Solution

1. Step 1: Write the proportion equation
   499.69 : 1,167.06 = 1,167.06 : x
2. Step 2: Convert to fraction form
   499.69/1,167.06 = 1,167.06/x
3. Step 3: Cross multiply
   499.69x = 1,167.06 × 1,167.06
4. Step 4: Simplify right side
   499.69x = 1,362,034.88
5. Step 5: Solve for x
   x = 1,362,034.88/499.69
6. Step 6: Final answer
   x = 2,725.77