Finding the Third Proportional to 64,866 and 140,805

Step by Step Solution

1. Step 1: Write the proportion equation
   64,866 : 140,805 = 140,805 : x
2. Step 2: Convert to fraction form
   64,866/140,805 = 140,805/x
3. Step 3: Cross multiply
   64,866x = 140,805 × 140,805
4. Step 4: Simplify right side
   64,866x = 19,826,048,025
5. Step 5: Solve for x
   x = 19,826,048,025/64,866
6. Step 6: Final answer
   x = 305,646.22