Finding the Third Proportional to 65,518 and 139,616

Step by Step Solution

1. Step 1: Write the proportion equation
   65,518 : 139,616 = 139,616 : x
2. Step 2: Convert to fraction form
   65,518/139,616 = 139,616/x
3. Step 3: Cross multiply
   65,518x = 139,616 × 139,616
4. Step 4: Simplify right side
   65,518x = 19,492,627,456
5. Step 5: Solve for x
   x = 19,492,627,456/65,518
6. Step 6: Final answer
   x = 297,515.61