Finding the Third Proportional to 185,530.50 and 397,296

Step by Step Solution

1. Step 1: Write the proportion equation
   185,530.50 : 397,296 = 397,296 : x
2. Step 2: Convert to fraction form
   185,530.50/397,296 = 397,296/x
3. Step 3: Cross multiply
   185,530.50x = 397,296 × 397,296
4. Step 4: Simplify right side
   185,530.50x = 157,844,111,616
5. Step 5: Solve for x
   x = 157,844,111,616/185,530.50
6. Step 6: Final answer
   x = 850,771.77