Finding the Third Proportional to 105,187 and 229,382

Step by Step Solution

1. Step 1: Write the proportion equation
   105,187 : 229,382 = 229,382 : x
2. Step 2: Convert to fraction form
   105,187/229,382 = 229,382/x
3. Step 3: Cross multiply
   105,187x = 229,382 × 229,382
4. Step 4: Simplify right side
   105,187x = 52,616,101,924
5. Step 5: Solve for x
   x = 52,616,101,924/105,187
6. Step 6: Final answer
   x = 500,214.87