Finding the Third Proportional to 65,644 and 144,052

Step by Step Solution

1. Step 1: Write the proportion equation
   65,644 : 144,052 = 144,052 : x
2. Step 2: Convert to fraction form
   65,644/144,052 = 144,052/x
3. Step 3: Cross multiply
   65,644x = 144,052 × 144,052
4. Step 4: Simplify right side
   65,644x = 20,750,978,704
5. Step 5: Solve for x
   x = 20,750,978,704/65,644
6. Step 6: Final answer
   x = 316,113.87