Finding the Third Proportional to 65,583 and 140,616

Step by Step Solution

1. Step 1: Write the proportion equation
   65,583 : 140,616 = 140,616 : x
2. Step 2: Convert to fraction form
   65,583/140,616 = 140,616/x
3. Step 3: Cross multiply
   65,583x = 140,616 × 140,616
4. Step 4: Simplify right side
   65,583x = 19,772,859,456
5. Step 5: Solve for x
   x = 19,772,859,456/65,583
6. Step 6: Final answer
   x = 301,493.67