Finding the Third Proportional to 64,274 and 139,510

Step by Step Solution

1. Step 1: Write the proportion equation
   64,274 : 139,510 = 139,510 : x
2. Step 2: Convert to fraction form
   64,274/139,510 = 139,510/x
3. Step 3: Cross multiply
   64,274x = 139,510 × 139,510
4. Step 4: Simplify right side
   64,274x = 19,463,040,100
5. Step 5: Solve for x
   x = 19,463,040,100/64,274
6. Step 6: Final answer
   x = 302,813.58