Finding the Third Proportional to 65,546 and 142,214

Step by Step Solution

1. Step 1: Write the proportion equation
   65,546 : 142,214 = 142,214 : x
2. Step 2: Convert to fraction form
   65,546/142,214 = 142,214/x
3. Step 3: Cross multiply
   65,546x = 142,214 × 142,214
4. Step 4: Simplify right side
   65,546x = 20,224,821,796
5. Step 5: Solve for x
   x = 20,224,821,796/65,546
6. Step 6: Final answer
   x = 308,559.21