Finding the Third Proportional to 187,958 and 405,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   187,958 : 405,257.50 = 405,257.50 : x
2. Step 2: Convert to fraction form
   187,958/405,257.50 = 405,257.50/x
3. Step 3: Cross multiply
   187,958x = 405,257.50 × 405,257.50
4. Step 4: Simplify right side
   187,958x = 164,233,641,306.25
5. Step 5: Solve for x
   x = 164,233,641,306.25/187,958
6. Step 6: Final answer
   x = 873,778.40