Finding the Third Proportional to 65,852 and 142,888

Step by Step Solution

1. Step 1: Write the proportion equation
   65,852 : 142,888 = 142,888 : x
2. Step 2: Convert to fraction form
   65,852/142,888 = 142,888/x
3. Step 3: Cross multiply
   65,852x = 142,888 × 142,888
4. Step 4: Simplify right side
   65,852x = 20,416,980,544
5. Step 5: Solve for x
   x = 20,416,980,544/65,852
6. Step 6: Final answer
   x = 310,043.44