Finding the Third Proportional to 65,762 and 142,036

Step by Step Solution

1. Step 1: Write the proportion equation
   65,762 : 142,036 = 142,036 : x
2. Step 2: Convert to fraction form
   65,762/142,036 = 142,036/x
3. Step 3: Cross multiply
   65,762x = 142,036 × 142,036
4. Step 4: Simplify right side
   65,762x = 20,174,225,296
5. Step 5: Solve for x
   x = 20,174,225,296/65,762
6. Step 6: Final answer
   x = 306,776.33