Finding the Third Proportional to 103,221 and 226,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,221 : 226,111.50 = 226,111.50 : x
2. Step 2: Convert to fraction form
   103,221/226,111.50 = 226,111.50/x
3. Step 3: Cross multiply
   103,221x = 226,111.50 × 226,111.50
4. Step 4: Simplify right side
   103,221x = 51,126,410,432.25
5. Step 5: Solve for x
   x = 51,126,410,432.25/103,221
6. Step 6: Final answer
   x = 495,310.16