Finding the Third Proportional to 65,727 and 143,466

Step by Step Solution

1. Step 1: Write the proportion equation
   65,727 : 143,466 = 143,466 : x
2. Step 2: Convert to fraction form
   65,727/143,466 = 143,466/x
3. Step 3: Cross multiply
   65,727x = 143,466 × 143,466
4. Step 4: Simplify right side
   65,727x = 20,582,493,156
5. Step 5: Solve for x
   x = 20,582,493,156/65,727
6. Step 6: Final answer
   x = 313,151.26