Finding the Third Proportional to 64,294 and 140,012

Step by Step Solution

1. Step 1: Write the proportion equation
   64,294 : 140,012 = 140,012 : x
2. Step 2: Convert to fraction form
   64,294/140,012 = 140,012/x
3. Step 3: Cross multiply
   64,294x = 140,012 × 140,012
4. Step 4: Simplify right side
   64,294x = 19,603,360,144
5. Step 5: Solve for x
   x = 19,603,360,144/64,294
6. Step 6: Final answer
   x = 304,901.86