Finding the Third Proportional to 65,538 and 140,414

Step by Step Solution

1. Step 1: Write the proportion equation
   65,538 : 140,414 = 140,414 : x
2. Step 2: Convert to fraction form
   65,538/140,414 = 140,414/x
3. Step 3: Cross multiply
   65,538x = 140,414 × 140,414
4. Step 4: Simplify right side
   65,538x = 19,716,091,396
5. Step 5: Solve for x
   x = 19,716,091,396/65,538
6. Step 6: Final answer
   x = 300,834.50