Finding the Third Proportional to 187,684 and 404,892.75

Step by Step Solution

1. Step 1: Write the proportion equation
   187,684 : 404,892.75 = 404,892.75 : x
2. Step 2: Convert to fraction form
   187,684/404,892.75 = 404,892.75/x
3. Step 3: Cross multiply
   187,684x = 404,892.75 × 404,892.75
4. Step 4: Simplify right side
   187,684x = 163,938,139,002.56
5. Step 5: Solve for x
   x = 163,938,139,002.56/187,684
6. Step 6: Final answer
   x = 873,479.57