Finding the Third Proportional to 188,696 and 412,384

Step by Step Solution

1. Step 1: Write the proportion equation
   188,696 : 412,384 = 412,384 : x
2. Step 2: Convert to fraction form
   188,696/412,384 = 412,384/x
3. Step 3: Cross multiply
   188,696x = 412,384 × 412,384
4. Step 4: Simplify right side
   188,696x = 170,060,563,456
5. Step 5: Solve for x
   x = 170,060,563,456/188,696
6. Step 6: Final answer
   x = 901,240.96