Finding the Third Proportional to 105,970 and 229,148

Step by Step Solution

1. Step 1: Write the proportion equation
   105,970 : 229,148 = 229,148 : x
2. Step 2: Convert to fraction form
   105,970/229,148 = 229,148/x
3. Step 3: Cross multiply
   105,970x = 229,148 × 229,148
4. Step 4: Simplify right side
   105,970x = 52,508,805,904
5. Step 5: Solve for x
   x = 52,508,805,904/105,970
6. Step 6: Final answer
   x = 495,506.33