Finding the Third Proportional to 64,702 and 142,436

Step by Step Solution

1. Step 1: Write the proportion equation
   64,702 : 142,436 = 142,436 : x
2. Step 2: Convert to fraction form
   64,702/142,436 = 142,436/x
3. Step 3: Cross multiply
   64,702x = 142,436 × 142,436
4. Step 4: Simplify right side
   64,702x = 20,288,014,096
5. Step 5: Solve for x
   x = 20,288,014,096/64,702
6. Step 6: Final answer
   x = 313,560.85