Finding the Third Proportional to 105,324 and 233,976

Step by Step Solution

1. Step 1: Write the proportion equation
   105,324 : 233,976 = 233,976 : x
2. Step 2: Convert to fraction form
   105,324/233,976 = 233,976/x
3. Step 3: Cross multiply
   105,324x = 233,976 × 233,976
4. Step 4: Simplify right side
   105,324x = 54,744,768,576
5. Step 5: Solve for x
   x = 54,744,768,576/105,324
6. Step 6: Final answer
   x = 519,774.87