Finding the Third Proportional to 65,627 and 143,284

Step by Step Solution

1. Step 1: Write the proportion equation
   65,627 : 143,284 = 143,284 : x
2. Step 2: Convert to fraction form
   65,627/143,284 = 143,284/x
3. Step 3: Cross multiply
   65,627x = 143,284 × 143,284
4. Step 4: Simplify right side
   65,627x = 20,530,304,656
5. Step 5: Solve for x
   x = 20,530,304,656/65,627
6. Step 6: Final answer
   x = 312,833.20