Finding the Third Proportional to 228,663 and 341,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   228,663 : 341,293.50 = 341,293.50 : x
2. Step 2: Convert to fraction form
   228,663/341,293.50 = 341,293.50/x
3. Step 3: Cross multiply
   228,663x = 341,293.50 × 341,293.50
4. Step 4: Simplify right side
   228,663x = 116,481,253,142.25
5. Step 5: Solve for x
   x = 116,481,253,142.25/228,663
6. Step 6: Final answer
   x = 509,401.40