Finding the Third Proportional to 108,894 and 231,006

Step by Step Solution

1. Step 1: Write the proportion equation
   108,894 : 231,006 = 231,006 : x
2. Step 2: Convert to fraction form
   108,894/231,006 = 231,006/x
3. Step 3: Cross multiply
   108,894x = 231,006 × 231,006
4. Step 4: Simplify right side
   108,894x = 53,363,772,036
5. Step 5: Solve for x
   x = 53,363,772,036/108,894
6. Step 6: Final answer
   x = 490,052.46