Finding the Third Proportional to 105,144 and 229,712

Step by Step Solution

1. Step 1: Write the proportion equation
   105,144 : 229,712 = 229,712 : x
2. Step 2: Convert to fraction form
   105,144/229,712 = 229,712/x
3. Step 3: Cross multiply
   105,144x = 229,712 × 229,712
4. Step 4: Simplify right side
   105,144x = 52,767,602,944
5. Step 5: Solve for x
   x = 52,767,602,944/105,144
6. Step 6: Final answer
   x = 501,860.33