Finding the Third Proportional to 103,634 and 228,144

Step by Step Solution

1. Step 1: Write the proportion equation
   103,634 : 228,144 = 228,144 : x
2. Step 2: Convert to fraction form
   103,634/228,144 = 228,144/x
3. Step 3: Cross multiply
   103,634x = 228,144 × 228,144
4. Step 4: Simplify right side
   103,634x = 52,049,684,736
5. Step 5: Solve for x
   x = 52,049,684,736/103,634
6. Step 6: Final answer
   x = 502,245.25