Finding the Third Proportional to 105,625.50 and 234,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,625.50 : 234,868.50 = 234,868.50 : x
2. Step 2: Convert to fraction form
   105,625.50/234,868.50 = 234,868.50/x
3. Step 3: Cross multiply
   105,625.50x = 234,868.50 × 234,868.50
4. Step 4: Simplify right side
   105,625.50x = 55,163,212,292.25
5. Step 5: Solve for x
   x = 55,163,212,292.25/105,625.50
6. Step 6: Final answer
   x = 522,252.79