Finding the Third Proportional to 498.52 and 1,062.53

Step by Step Solution

1. Step 1: Write the proportion equation
   498.52 : 1,062.53 = 1,062.53 : x
2. Step 2: Convert to fraction form
   498.52/1,062.53 = 1,062.53/x
3. Step 3: Cross multiply
   498.52x = 1,062.53 × 1,062.53
4. Step 4: Simplify right side
   498.52x = 1,128,973.69
5. Step 5: Solve for x
   x = 1,128,973.69/498.52
6. Step 6: Final answer
   x = 2,264.66