Finding the Third Proportional to 64,894 and 140,804

Step by Step Solution

1. Step 1: Write the proportion equation
   64,894 : 140,804 = 140,804 : x
2. Step 2: Convert to fraction form
   64,894/140,804 = 140,804/x
3. Step 3: Cross multiply
   64,894x = 140,804 × 140,804
4. Step 4: Simplify right side
   64,894x = 19,825,766,416
5. Step 5: Solve for x
   x = 19,825,766,416/64,894
6. Step 6: Final answer
   x = 305,510.01