Finding the Third Proportional to 187,648 and 413,696

Step by Step Solution

1. Step 1: Write the proportion equation
   187,648 : 413,696 = 413,696 : x
2. Step 2: Convert to fraction form
   187,648/413,696 = 413,696/x
3. Step 3: Cross multiply
   187,648x = 413,696 × 413,696
4. Step 4: Simplify right side
   187,648x = 171,144,380,416
5. Step 5: Solve for x
   x = 171,144,380,416/187,648
6. Step 6: Final answer
   x = 912,050.12