Finding the Third Proportional to 188,728 and 412,460

Step by Step Solution

1. Step 1: Write the proportion equation
   188,728 : 412,460 = 412,460 : x
2. Step 2: Convert to fraction form
   188,728/412,460 = 412,460/x
3. Step 3: Cross multiply
   188,728x = 412,460 × 412,460
4. Step 4: Simplify right side
   188,728x = 170,123,251,600
5. Step 5: Solve for x
   x = 170,123,251,600/188,728
6. Step 6: Final answer
   x = 901,420.31