Finding the Third Proportional to 64,566 and 142,182

Step by Step Solution

1. Step 1: Write the proportion equation
   64,566 : 142,182 = 142,182 : x
2. Step 2: Convert to fraction form
   64,566/142,182 = 142,182/x
3. Step 3: Cross multiply
   64,566x = 142,182 × 142,182
4. Step 4: Simplify right side
   64,566x = 20,215,721,124
5. Step 5: Solve for x
   x = 20,215,721,124/64,566
6. Step 6: Final answer
   x = 313,101.65