Finding the Third Proportional to 103,506.25 and 221,768

Step by Step Solution

1. Step 1: Write the proportion equation
   103,506.25 : 221,768 = 221,768 : x
2. Step 2: Convert to fraction form
   103,506.25/221,768 = 221,768/x
3. Step 3: Cross multiply
   103,506.25x = 221,768 × 221,768
4. Step 4: Simplify right side
   103,506.25x = 49,181,045,824
5. Step 5: Solve for x
   x = 49,181,045,824/103,506.25
6. Step 6: Final answer
   x = 475,150.49