Finding the Third Proportional to 64,083 and 137,644

Step by Step Solution

1. Step 1: Write the proportion equation
   64,083 : 137,644 = 137,644 : x
2. Step 2: Convert to fraction form
   64,083/137,644 = 137,644/x
3. Step 3: Cross multiply
   64,083x = 137,644 × 137,644
4. Step 4: Simplify right side
   64,083x = 18,945,870,736
5. Step 5: Solve for x
   x = 18,945,870,736/64,083
6. Step 6: Final answer
   x = 295,645.81