Finding the Third Proportional to 65,480 and 139,504

Step by Step Solution

1. Step 1: Write the proportion equation
   65,480 : 139,504 = 139,504 : x
2. Step 2: Convert to fraction form
   65,480/139,504 = 139,504/x
3. Step 3: Cross multiply
   65,480x = 139,504 × 139,504
4. Step 4: Simplify right side
   65,480x = 19,461,366,016
5. Step 5: Solve for x
   x = 19,461,366,016/65,480
6. Step 6: Final answer
   x = 297,210.84