Finding the Third Proportional to 139,780 and 186,227

Step by Step Solution

1. Step 1: Write the proportion equation
   139,780 : 186,227 = 186,227 : x
2. Step 2: Convert to fraction form
   139,780/186,227 = 186,227/x
3. Step 3: Cross multiply
   139,780x = 186,227 × 186,227
4. Step 4: Simplify right side
   139,780x = 34,680,495,529
5. Step 5: Solve for x
   x = 34,680,495,529/139,780
6. Step 6: Final answer
   x = 248,107.71