Finding the Third Proportional to 65,163 and 142,782

Step by Step Solution

1. Step 1: Write the proportion equation
   65,163 : 142,782 = 142,782 : x
2. Step 2: Convert to fraction form
   65,163/142,782 = 142,782/x
3. Step 3: Cross multiply
   65,163x = 142,782 × 142,782
4. Step 4: Simplify right side
   65,163x = 20,386,699,524
5. Step 5: Solve for x
   x = 20,386,699,524/65,163
6. Step 6: Final answer
   x = 312,856.98