Finding the Third Proportional to 105,112 and 233,576

Step by Step Solution

1. Step 1: Write the proportion equation
   105,112 : 233,576 = 233,576 : x
2. Step 2: Convert to fraction form
   105,112/233,576 = 233,576/x
3. Step 3: Cross multiply
   105,112x = 233,576 × 233,576
4. Step 4: Simplify right side
   105,112x = 54,557,747,776
5. Step 5: Solve for x
   x = 54,557,747,776/105,112
6. Step 6: Final answer
   x = 519,043.95