Finding the Third Proportional to 231,796 and 498,254

Step by Step Solution

1. Step 1: Write the proportion equation
   231,796 : 498,254 = 498,254 : x
2. Step 2: Convert to fraction form
   231,796/498,254 = 498,254/x
3. Step 3: Cross multiply
   231,796x = 498,254 × 498,254
4. Step 4: Simplify right side
   231,796x = 248,257,048,516
5. Step 5: Solve for x
   x = 248,257,048,516/231,796
6. Step 6: Final answer
   x = 1,071,015.24