Finding the Third Proportional to 65,052 and 142,004

Step by Step Solution

1. Step 1: Write the proportion equation
   65,052 : 142,004 = 142,004 : x
2. Step 2: Convert to fraction form
   65,052/142,004 = 142,004/x
3. Step 3: Cross multiply
   65,052x = 142,004 × 142,004
4. Step 4: Simplify right side
   65,052x = 20,165,136,016
5. Step 5: Solve for x
   x = 20,165,136,016/65,052
6. Step 6: Final answer
   x = 309,984.87