Finding the Third Proportional to 65,475 and 140,508

Step by Step Solution

1. Step 1: Write the proportion equation
   65,475 : 140,508 = 140,508 : x
2. Step 2: Convert to fraction form
   65,475/140,508 = 140,508/x
3. Step 3: Cross multiply
   65,475x = 140,508 × 140,508
4. Step 4: Simplify right side
   65,475x = 19,742,498,064
5. Step 5: Solve for x
   x = 19,742,498,064/65,475
6. Step 6: Final answer
   x = 301,527.27