Finding the Third Proportional to 65,478 and 142,950

Step by Step Solution

1. Step 1: Write the proportion equation
   65,478 : 142,950 = 142,950 : x
2. Step 2: Convert to fraction form
   65,478/142,950 = 142,950/x
3. Step 3: Cross multiply
   65,478x = 142,950 × 142,950
4. Step 4: Simplify right side
   65,478x = 20,434,702,500
5. Step 5: Solve for x
   x = 20,434,702,500/65,478
6. Step 6: Final answer
   x = 312,085.01