Finding the Third Proportional to 65,828 and 142,591

Step by Step Solution

1. Step 1: Write the proportion equation
   65,828 : 142,591 = 142,591 : x
2. Step 2: Convert to fraction form
   65,828/142,591 = 142,591/x
3. Step 3: Cross multiply
   65,828x = 142,591 × 142,591
4. Step 4: Simplify right side
   65,828x = 20,332,193,281
5. Step 5: Solve for x
   x = 20,332,193,281/65,828
6. Step 6: Final answer
   x = 308,868.46