Finding the Third Proportional to 64,296 and 140,016

Step by Step Solution

1. Step 1: Write the proportion equation
   64,296 : 140,016 = 140,016 : x
2. Step 2: Convert to fraction form
   64,296/140,016 = 140,016/x
3. Step 3: Cross multiply
   64,296x = 140,016 × 140,016
4. Step 4: Simplify right side
   64,296x = 19,604,480,256
5. Step 5: Solve for x
   x = 19,604,480,256/64,296
6. Step 6: Final answer
   x = 304,909.80