Finding the Third Proportional to 65,826 and 142,587

Step by Step Solution

1. Step 1: Write the proportion equation
   65,826 : 142,587 = 142,587 : x
2. Step 2: Convert to fraction form
   65,826/142,587 = 142,587/x
3. Step 3: Cross multiply
   65,826x = 142,587 × 142,587
4. Step 4: Simplify right side
   65,826x = 20,331,052,569
5. Step 5: Solve for x
   x = 20,331,052,569/65,826
6. Step 6: Final answer
   x = 308,860.52