Finding the Third Proportional to 103,707 and 223,177.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,707 : 223,177.50 = 223,177.50 : x
2. Step 2: Convert to fraction form
   103,707/223,177.50 = 223,177.50/x
3. Step 3: Cross multiply
   103,707x = 223,177.50 × 223,177.50
4. Step 4: Simplify right side
   103,707x = 49,808,196,506.25
5. Step 5: Solve for x
   x = 49,808,196,506.25/103,707
6. Step 6: Final answer
   x = 480,278.06