Finding the Third Proportional to 109,077 and 231,339

Step by Step Solution

1. Step 1: Write the proportion equation
   109,077 : 231,339 = 231,339 : x
2. Step 2: Convert to fraction form
   109,077/231,339 = 231,339/x
3. Step 3: Cross multiply
   109,077x = 231,339 × 231,339
4. Step 4: Simplify right side
   109,077x = 53,517,732,921
5. Step 5: Solve for x
   x = 53,517,732,921/109,077
6. Step 6: Final answer
   x = 490,641.78