Finding the Third Proportional to 140,706 and 299,864

Step by Step Solution

1. Step 1: Write the proportion equation
   140,706 : 299,864 = 299,864 : x
2. Step 2: Convert to fraction form
   140,706/299,864 = 299,864/x
3. Step 3: Cross multiply
   140,706x = 299,864 × 299,864
4. Step 4: Simplify right side
   140,706x = 89,918,418,496
5. Step 5: Solve for x
   x = 89,918,418,496/140,706
6. Step 6: Final answer
   x = 639,051.77