Finding the Third Proportional to 185,514 and 397,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,514 : 397,264.50 = 397,264.50 : x
2. Step 2: Convert to fraction form
   185,514/397,264.50 = 397,264.50/x
3. Step 3: Cross multiply
   185,514x = 397,264.50 × 397,264.50
4. Step 4: Simplify right side
   185,514x = 157,819,082,960.25
5. Step 5: Solve for x
   x = 157,819,082,960.25/185,514
6. Step 6: Final answer
   x = 850,712.52