Finding the Third Proportional to 65,268 and 141,228

Step by Step Solution

1. Step 1: Write the proportion equation
   65,268 : 141,228 = 141,228 : x
2. Step 2: Convert to fraction form
   65,268/141,228 = 141,228/x
3. Step 3: Cross multiply
   65,268x = 141,228 × 141,228
4. Step 4: Simplify right side
   65,268x = 19,945,347,984
5. Step 5: Solve for x
   x = 19,945,347,984/65,268
6. Step 6: Final answer
   x = 305,591.53