Finding the Third Proportional to 105,576 and 234,762

Step by Step Solution

1. Step 1: Write the proportion equation
   105,576 : 234,762 = 234,762 : x
2. Step 2: Convert to fraction form
   105,576/234,762 = 234,762/x
3. Step 3: Cross multiply
   105,576x = 234,762 × 234,762
4. Step 4: Simplify right side
   105,576x = 55,113,196,644
5. Step 5: Solve for x
   x = 55,113,196,644/105,576
6. Step 6: Final answer
   x = 522,023.91