Finding the Third Proportional to 65,624 and 140,580

Step by Step Solution

1. Step 1: Write the proportion equation
   65,624 : 140,580 = 140,580 : x
2. Step 2: Convert to fraction form
   65,624/140,580 = 140,580/x
3. Step 3: Cross multiply
   65,624x = 140,580 × 140,580
4. Step 4: Simplify right side
   65,624x = 19,762,736,400
5. Step 5: Solve for x
   x = 19,762,736,400/65,624
6. Step 6: Final answer
   x = 301,151.05