Finding the Third Proportional to 105,621 and 234,856

Step by Step Solution

1. Step 1: Write the proportion equation
   105,621 : 234,856 = 234,856 : x
2. Step 2: Convert to fraction form
   105,621/234,856 = 234,856/x
3. Step 3: Cross multiply
   105,621x = 234,856 × 234,856
4. Step 4: Simplify right side
   105,621x = 55,157,340,736
5. Step 5: Solve for x
   x = 55,157,340,736/105,621
6. Step 6: Final answer
   x = 522,219.45