Finding the Third Proportional to 64,852 and 142,006

Step by Step Solution

1. Step 1: Write the proportion equation
   64,852 : 142,006 = 142,006 : x
2. Step 2: Convert to fraction form
   64,852/142,006 = 142,006/x
3. Step 3: Cross multiply
   64,852x = 142,006 × 142,006
4. Step 4: Simplify right side
   64,852x = 20,165,704,036
5. Step 5: Solve for x
   x = 20,165,704,036/64,852
6. Step 6: Final answer
   x = 310,949.61