Finding the Third Proportional to 186,978 and 408,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,978 : 408,214.50 = 408,214.50 : x
2. Step 2: Convert to fraction form
   186,978/408,214.50 = 408,214.50/x
3. Step 3: Cross multiply
   186,978x = 408,214.50 × 408,214.50
4. Step 4: Simplify right side
   186,978x = 166,639,078,010.25
5. Step 5: Solve for x
   x = 166,639,078,010.25/186,978
6. Step 6: Final answer
   x = 891,222.91