Finding the Third Proportional to 105,424.50 and 226,968

Step by Step Solution

1. Step 1: Write the proportion equation
   105,424.50 : 226,968 = 226,968 : x
2. Step 2: Convert to fraction form
   105,424.50/226,968 = 226,968/x
3. Step 3: Cross multiply
   105,424.50x = 226,968 × 226,968
4. Step 4: Simplify right side
   105,424.50x = 51,514,473,024
5. Step 5: Solve for x
   x = 51,514,473,024/105,424.50
6. Step 6: Final answer
   x = 488,638.53