Finding the Third Proportional to 105,498 and 231,006

Step by Step Solution

1. Step 1: Write the proportion equation
   105,498 : 231,006 = 231,006 : x
2. Step 2: Convert to fraction form
   105,498/231,006 = 231,006/x
3. Step 3: Cross multiply
   105,498x = 231,006 × 231,006
4. Step 4: Simplify right side
   105,498x = 53,363,772,036
5. Step 5: Solve for x
   x = 53,363,772,036/105,498
6. Step 6: Final answer
   x = 505,827.33