Finding the Third Proportional to 65,835 and 142,749

Step by Step Solution

1. Step 1: Write the proportion equation
   65,835 : 142,749 = 142,749 : x
2. Step 2: Convert to fraction form
   65,835/142,749 = 142,749/x
3. Step 3: Cross multiply
   65,835x = 142,749 × 142,749
4. Step 4: Simplify right side
   65,835x = 20,377,277,001
5. Step 5: Solve for x
   x = 20,377,277,001/65,835
6. Step 6: Final answer
   x = 309,520.42