Finding the Third Proportional to 65,294 and 140,956

Step by Step Solution

1. Step 1: Write the proportion equation
   65,294 : 140,956 = 140,956 : x
2. Step 2: Convert to fraction form
   65,294/140,956 = 140,956/x
3. Step 3: Cross multiply
   65,294x = 140,956 × 140,956
4. Step 4: Simplify right side
   65,294x = 19,868,593,936
5. Step 5: Solve for x
   x = 19,868,593,936/65,294
6. Step 6: Final answer
   x = 304,294.33