Finding the Third Proportional to 105,619 and 234,852

Step by Step Solution

1. Step 1: Write the proportion equation
   105,619 : 234,852 = 234,852 : x
2. Step 2: Convert to fraction form
   105,619/234,852 = 234,852/x
3. Step 3: Cross multiply
   105,619x = 234,852 × 234,852
4. Step 4: Simplify right side
   105,619x = 55,155,461,904
5. Step 5: Solve for x
   x = 55,155,461,904/105,619
6. Step 6: Final answer
   x = 522,211.55