Finding the Third Proportional to 64,262 and 142,288

Step by Step Solution

1. Step 1: Write the proportion equation
   64,262 : 142,288 = 142,288 : x
2. Step 2: Convert to fraction form
   64,262/142,288 = 142,288/x
3. Step 3: Cross multiply
   64,262x = 142,288 × 142,288
4. Step 4: Simplify right side
   64,262x = 20,245,874,944
5. Step 5: Solve for x
   x = 20,245,874,944/64,262
6. Step 6: Final answer
   x = 315,052.05