Finding the Third Proportional to 96,510 and 139,228

Step by Step Solution

1. Step 1: Write the proportion equation
   96,510 : 139,228 = 139,228 : x
2. Step 2: Convert to fraction form
   96,510/139,228 = 139,228/x
3. Step 3: Cross multiply
   96,510x = 139,228 × 139,228
4. Step 4: Simplify right side
   96,510x = 19,384,435,984
5. Step 5: Solve for x
   x = 19,384,435,984/96,510
6. Step 6: Final answer
   x = 200,854.17