Finding the Third Proportional to 64,172 and 140,744

Step by Step Solution

1. Step 1: Write the proportion equation
   64,172 : 140,744 = 140,744 : x
2. Step 2: Convert to fraction form
   64,172/140,744 = 140,744/x
3. Step 3: Cross multiply
   64,172x = 140,744 × 140,744
4. Step 4: Simplify right side
   64,172x = 19,808,873,536
5. Step 5: Solve for x
   x = 19,808,873,536/64,172
6. Step 6: Final answer
   x = 308,684.06