Finding the Third Proportional to 140,740 and 299,780

Step by Step Solution

1. Step 1: Write the proportion equation
   140,740 : 299,780 = 299,780 : x
2. Step 2: Convert to fraction form
   140,740/299,780 = 299,780/x
3. Step 3: Cross multiply
   140,740x = 299,780 × 299,780
4. Step 4: Simplify right side
   140,740x = 89,868,048,400
5. Step 5: Solve for x
   x = 89,868,048,400/140,740
6. Step 6: Final answer
   x = 638,539.49