Finding the Third Proportional to 65,078 and 142,610

Step by Step Solution

1. Step 1: Write the proportion equation
   65,078 : 142,610 = 142,610 : x
2. Step 2: Convert to fraction form
   65,078/142,610 = 142,610/x
3. Step 3: Cross multiply
   65,078x = 142,610 × 142,610
4. Step 4: Simplify right side
   65,078x = 20,337,612,100
5. Step 5: Solve for x
   x = 20,337,612,100/65,078
6. Step 6: Final answer
   x = 312,511.33