Finding the Third Proportional to 65,586 and 142,854

Step by Step Solution

1. Step 1: Write the proportion equation
   65,586 : 142,854 = 142,854 : x
2. Step 2: Convert to fraction form
   65,586/142,854 = 142,854/x
3. Step 3: Cross multiply
   65,586x = 142,854 × 142,854
4. Step 4: Simplify right side
   65,586x = 20,407,265,316
5. Step 5: Solve for x
   x = 20,407,265,316/65,586
6. Step 6: Final answer
   x = 311,152.77