Finding the Third Proportional to 105,625 and 234,867

Step by Step Solution

1. Step 1: Write the proportion equation
   105,625 : 234,867 = 234,867 : x
2. Step 2: Convert to fraction form
   105,625/234,867 = 234,867/x
3. Step 3: Cross multiply
   105,625x = 234,867 × 234,867
4. Step 4: Simplify right side
   105,625x = 55,162,507,689
5. Step 5: Solve for x
   x = 55,162,507,689/105,625
6. Step 6: Final answer
   x = 522,248.59