Finding the Third Proportional to 55,668 and 116,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,668 : 116,806.50 = 116,806.50 : x
2. Step 2: Convert to fraction form
   55,668/116,806.50 = 116,806.50/x
3. Step 3: Cross multiply
   55,668x = 116,806.50 × 116,806.50
4. Step 4: Simplify right side
   55,668x = 13,643,758,442.25
5. Step 5: Solve for x
   x = 13,643,758,442.25/55,668
6. Step 6: Final answer
   x = 245,091.59