Finding the Third Proportional to 116,717.25 and 185,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,717.25 : 185,806.50 = 185,806.50 : x
2. Step 2: Convert to fraction form
   116,717.25/185,806.50 = 185,806.50/x
3. Step 3: Cross multiply
   116,717.25x = 185,806.50 × 185,806.50
4. Step 4: Simplify right side
   116,717.25x = 34,524,055,442.25
5. Step 5: Solve for x
   x = 34,524,055,442.25/116,717.25
6. Step 6: Final answer
   x = 295,792.23