Finding the Third Proportional to 105,740 and 140,968

Step by Step Solution

1. Step 1: Write the proportion equation
   105,740 : 140,968 = 140,968 : x
2. Step 2: Convert to fraction form
   105,740/140,968 = 140,968/x
3. Step 3: Cross multiply
   105,740x = 140,968 × 140,968
4. Step 4: Simplify right side
   105,740x = 19,871,977,024
5. Step 5: Solve for x
   x = 19,871,977,024/105,740
6. Step 6: Final answer
   x = 187,932.45