Finding the Third Proportional to 105,888 and 229,184

Step by Step Solution

1. Step 1: Write the proportion equation
   105,888 : 229,184 = 229,184 : x
2. Step 2: Convert to fraction form
   105,888/229,184 = 229,184/x
3. Step 3: Cross multiply
   105,888x = 229,184 × 229,184
4. Step 4: Simplify right side
   105,888x = 52,525,305,856
5. Step 5: Solve for x
   x = 52,525,305,856/105,888
6. Step 6: Final answer
   x = 496,045.88