Finding the Third Proportional to 65,498 and 140,338

Step by Step Solution

1. Step 1: Write the proportion equation
   65,498 : 140,338 = 140,338 : x
2. Step 2: Convert to fraction form
   65,498/140,338 = 140,338/x
3. Step 3: Cross multiply
   65,498x = 140,338 × 140,338
4. Step 4: Simplify right side
   65,498x = 19,694,754,244
5. Step 5: Solve for x
   x = 19,694,754,244/65,498
6. Step 6: Final answer
   x = 300,692.45