Finding the Third Proportional to 64,870 and 140,814

Step by Step Solution

1. Step 1: Write the proportion equation
   64,870 : 140,814 = 140,814 : x
2. Step 2: Convert to fraction form
   64,870/140,814 = 140,814/x
3. Step 3: Cross multiply
   64,870x = 140,814 × 140,814
4. Step 4: Simplify right side
   64,870x = 19,828,582,596
5. Step 5: Solve for x
   x = 19,828,582,596/64,870
6. Step 6: Final answer
   x = 305,666.45