Finding the Third Proportional to 109,778 and 228,168

Step by Step Solution

1. Step 1: Write the proportion equation
   109,778 : 228,168 = 228,168 : x
2. Step 2: Convert to fraction form
   109,778/228,168 = 228,168/x
3. Step 3: Cross multiply
   109,778x = 228,168 × 228,168
4. Step 4: Simplify right side
   109,778x = 52,060,636,224
5. Step 5: Solve for x
   x = 52,060,636,224/109,778
6. Step 6: Final answer
   x = 474,235.60