Finding the Third Proportional to 87,696 and 139,537.69

Step by Step Solution

1. Step 1: Write the proportion equation
   87,696 : 139,537.69 = 139,537.69 : x
2. Step 2: Convert to fraction form
   87,696/139,537.69 = 139,537.69/x
3. Step 3: Cross multiply
   87,696x = 139,537.69 × 139,537.69
4. Step 4: Simplify right side
   87,696x = 19,470,766,232.85
5. Step 5: Solve for x
   x = 19,470,766,232.85/87,696
6. Step 6: Final answer
   x = 222,025.71