Finding the Third Proportional to 65,682 and 142,380

Step by Step Solution

1. Step 1: Write the proportion equation
   65,682 : 142,380 = 142,380 : x
2. Step 2: Convert to fraction form
   65,682/142,380 = 142,380/x
3. Step 3: Cross multiply
   65,682x = 142,380 × 142,380
4. Step 4: Simplify right side
   65,682x = 20,272,064,400
5. Step 5: Solve for x
   x = 20,272,064,400/65,682
6. Step 6: Final answer
   x = 308,639.57