Finding the Third Proportional to 185,404.50 and 397,055.25

Step by Step Solution

1. Step 1: Write the proportion equation
   185,404.50 : 397,055.25 = 397,055.25 : x
2. Step 2: Convert to fraction form
   185,404.50/397,055.25 = 397,055.25/x
3. Step 3: Cross multiply
   185,404.50x = 397,055.25 × 397,055.25
4. Step 4: Simplify right side
   185,404.50x = 157,652,871,552.56
5. Step 5: Solve for x
   x = 157,652,871,552.56/185,404.50
6. Step 6: Final answer
   x = 850,318.47