Finding the Third Proportional to 106,156 and 228,040

Step by Step Solution

1. Step 1: Write the proportion equation
   106,156 : 228,040 = 228,040 : x
2. Step 2: Convert to fraction form
   106,156/228,040 = 228,040/x
3. Step 3: Cross multiply
   106,156x = 228,040 × 228,040
4. Step 4: Simplify right side
   106,156x = 52,002,241,600
5. Step 5: Solve for x
   x = 52,002,241,600/106,156
6. Step 6: Final answer
   x = 489,866.25