Finding the Third Proportional to 117,227.50 and 274,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,227.50 : 274,103.50 = 274,103.50 : x
2. Step 2: Convert to fraction form
   117,227.50/274,103.50 = 274,103.50/x
3. Step 3: Cross multiply
   117,227.50x = 274,103.50 × 274,103.50
4. Step 4: Simplify right side
   117,227.50x = 75,132,728,712.25
5. Step 5: Solve for x
   x = 75,132,728,712.25/117,227.50
6. Step 6: Final answer
   x = 640,913.85