Finding the Third Proportional to 498.87 and 1,095.82

Step by Step Solution

1. Step 1: Write the proportion equation
   498.87 : 1,095.82 = 1,095.82 : x
2. Step 2: Convert to fraction form
   498.87/1,095.82 = 1,095.82/x
3. Step 3: Cross multiply
   498.87x = 1,095.82 × 1,095.82
4. Step 4: Simplify right side
   498.87x = 1,200,822.16
5. Step 5: Solve for x
   x = 1,200,822.16/498.87
6. Step 6: Final answer
   x = 2,407.10