Finding the Third Proportional to 64,740 and 140,874

Step by Step Solution

1. Step 1: Write the proportion equation
   64,740 : 140,874 = 140,874 : x
2. Step 2: Convert to fraction form
   64,740/140,874 = 140,874/x
3. Step 3: Cross multiply
   64,740x = 140,874 × 140,874
4. Step 4: Simplify right side
   64,740x = 19,845,483,876
5. Step 5: Solve for x
   x = 19,845,483,876/64,740
6. Step 6: Final answer
   x = 306,541.30