Finding the Third Proportional to 65,675 and 142,358

Step by Step Solution

1. Step 1: Write the proportion equation
   65,675 : 142,358 = 142,358 : x
2. Step 2: Convert to fraction form
   65,675/142,358 = 142,358/x
3. Step 3: Cross multiply
   65,675x = 142,358 × 142,358
4. Step 4: Simplify right side
   65,675x = 20,265,800,164
5. Step 5: Solve for x
   x = 20,265,800,164/65,675
6. Step 6: Final answer
   x = 308,577.09