Finding the Third Proportional to 185,815 and 274,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,815 : 274,348.50 = 274,348.50 : x
2. Step 2: Convert to fraction form
   185,815/274,348.50 = 274,348.50/x
3. Step 3: Cross multiply
   185,815x = 274,348.50 × 274,348.50
4. Step 4: Simplify right side
   185,815x = 75,267,099,452.25
5. Step 5: Solve for x
   x = 75,267,099,452.25/185,815
6. Step 6: Final answer
   x = 405,064.71