Finding the Third Proportional to 65,414 and 139,540

Step by Step Solution

1. Step 1: Write the proportion equation
   65,414 : 139,540 = 139,540 : x
2. Step 2: Convert to fraction form
   65,414/139,540 = 139,540/x
3. Step 3: Cross multiply
   65,414x = 139,540 × 139,540
4. Step 4: Simplify right side
   65,414x = 19,471,411,600
5. Step 5: Solve for x
   x = 19,471,411,600/65,414
6. Step 6: Final answer
   x = 297,664.29