Finding the Third Proportional to 73,264 and 140,692

Step by Step Solution

1. Step 1: Write the proportion equation
   73,264 : 140,692 = 140,692 : x
2. Step 2: Convert to fraction form
   73,264/140,692 = 140,692/x
3. Step 3: Cross multiply
   73,264x = 140,692 × 140,692
4. Step 4: Simplify right side
   73,264x = 19,794,238,864
5. Step 5: Solve for x
   x = 19,794,238,864/73,264
6. Step 6: Final answer
   x = 270,176.88