Finding the Third Proportional to 103,853.25 and 225,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,853.25 : 225,931.50 = 225,931.50 : x
2. Step 2: Convert to fraction form
   103,853.25/225,931.50 = 225,931.50/x
3. Step 3: Cross multiply
   103,853.25x = 225,931.50 × 225,931.50
4. Step 4: Simplify right side
   103,853.25x = 51,045,042,692.25
5. Step 5: Solve for x
   x = 51,045,042,692.25/103,853.25
6. Step 6: Final answer
   x = 491,511.27