Finding the Third Proportional to 64,893 and 140,799

Step by Step Solution

1. Step 1: Write the proportion equation
   64,893 : 140,799 = 140,799 : x
2. Step 2: Convert to fraction form
   64,893/140,799 = 140,799/x
3. Step 3: Cross multiply
   64,893x = 140,799 × 140,799
4. Step 4: Simplify right side
   64,893x = 19,824,358,401
5. Step 5: Solve for x
   x = 19,824,358,401/64,893
6. Step 6: Final answer
   x = 305,493.02