Finding the Third Proportional to 185,533 and 397,300

Step by Step Solution

1. Step 1: Write the proportion equation
   185,533 : 397,300 = 397,300 : x
2. Step 2: Convert to fraction form
   185,533/397,300 = 397,300/x
3. Step 3: Cross multiply
   185,533x = 397,300 × 397,300
4. Step 4: Simplify right side
   185,533x = 157,847,290,000
5. Step 5: Solve for x
   x = 157,847,290,000/185,533
6. Step 6: Final answer
   x = 850,777.44