Finding the Third Proportional to 65,829 and 140,406

Step by Step Solution

1. Step 1: Write the proportion equation
   65,829 : 140,406 = 140,406 : x
2. Step 2: Convert to fraction form
   65,829/140,406 = 140,406/x
3. Step 3: Cross multiply
   65,829x = 140,406 × 140,406
4. Step 4: Simplify right side
   65,829x = 19,713,844,836
5. Step 5: Solve for x
   x = 19,713,844,836/65,829
6. Step 6: Final answer
   x = 299,470.52