Finding the Third Proportional to 96,518 and 139,238

Step by Step Solution

1. Step 1: Write the proportion equation
   96,518 : 139,238 = 139,238 : x
2. Step 2: Convert to fraction form
   96,518/139,238 = 139,238/x
3. Step 3: Cross multiply
   96,518x = 139,238 × 139,238
4. Step 4: Simplify right side
   96,518x = 19,387,220,644
5. Step 5: Solve for x
   x = 19,387,220,644/96,518
6. Step 6: Final answer
   x = 200,866.37