Finding the Third Proportional to 65,474 and 142,716

Step by Step Solution

1. Step 1: Write the proportion equation
   65,474 : 142,716 = 142,716 : x
2. Step 2: Convert to fraction form
   65,474/142,716 = 142,716/x
3. Step 3: Cross multiply
   65,474x = 142,716 × 142,716
4. Step 4: Simplify right side
   65,474x = 20,367,856,656
5. Step 5: Solve for x
   x = 20,367,856,656/65,474
6. Step 6: Final answer
   x = 311,083.13