Finding the Third Proportional to 185,584.50 and 397,410

Step by Step Solution

1. Step 1: Write the proportion equation
   185,584.50 : 397,410 = 397,410 : x
2. Step 2: Convert to fraction form
   185,584.50/397,410 = 397,410/x
3. Step 3: Cross multiply
   185,584.50x = 397,410 × 397,410
4. Step 4: Simplify right side
   185,584.50x = 157,934,708,100
5. Step 5: Solve for x
   x = 157,934,708,100/185,584.50
6. Step 6: Final answer
   x = 851,012.39