Finding the Third Proportional to 103,813 and 226,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,813 : 226,385.50 = 226,385.50 : x
2. Step 2: Convert to fraction form
   103,813/226,385.50 = 226,385.50/x
3. Step 3: Cross multiply
   103,813x = 226,385.50 × 226,385.50
4. Step 4: Simplify right side
   103,813x = 51,250,394,610.25
5. Step 5: Solve for x
   x = 51,250,394,610.25/103,813
6. Step 6: Final answer
   x = 493,679.93