Finding the Third Proportional to 187,606.50 and 410,784

Step by Step Solution

1. Step 1: Write the proportion equation
   187,606.50 : 410,784 = 410,784 : x
2. Step 2: Convert to fraction form
   187,606.50/410,784 = 410,784/x
3. Step 3: Cross multiply
   187,606.50x = 410,784 × 410,784
4. Step 4: Simplify right side
   187,606.50x = 168,743,494,656
5. Step 5: Solve for x
   x = 168,743,494,656/187,606.50
6. Step 6: Final answer
   x = 899,454.41