Finding the Third Proportional to 105,769 and 226,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,769 : 226,297.50 = 226,297.50 : x
2. Step 2: Convert to fraction form
   105,769/226,297.50 = 226,297.50/x
3. Step 3: Cross multiply
   105,769x = 226,297.50 × 226,297.50
4. Step 4: Simplify right side
   105,769x = 51,210,558,506.25
5. Step 5: Solve for x
   x = 51,210,558,506.25/105,769
6. Step 6: Final answer
   x = 484,173.61