Finding the Third Proportional to 185,824.50 and 397,884

Step by Step Solution

1. Step 1: Write the proportion equation
   185,824.50 : 397,884 = 397,884 : x
2. Step 2: Convert to fraction form
   185,824.50/397,884 = 397,884/x
3. Step 3: Cross multiply
   185,824.50x = 397,884 × 397,884
4. Step 4: Simplify right side
   185,824.50x = 158,311,677,456
5. Step 5: Solve for x
   x = 158,311,677,456/185,824.50
6. Step 6: Final answer
   x = 851,941.90