Finding the Third Proportional to 231,798 and 498,258

Step by Step Solution

1. Step 1: Write the proportion equation
   231,798 : 498,258 = 498,258 : x
2. Step 2: Convert to fraction form
   231,798/498,258 = 498,258/x
3. Step 3: Cross multiply
   231,798x = 498,258 × 498,258
4. Step 4: Simplify right side
   231,798x = 248,261,034,564
5. Step 5: Solve for x
   x = 248,261,034,564/231,798
6. Step 6: Final answer
   x = 1,071,023.20