Finding the Third Proportional to 109,772 and 228,158

Step by Step Solution

1. Step 1: Write the proportion equation
   109,772 : 228,158 = 228,158 : x
2. Step 2: Convert to fraction form
   109,772/228,158 = 228,158/x
3. Step 3: Cross multiply
   109,772x = 228,158 × 228,158
4. Step 4: Simplify right side
   109,772x = 52,056,072,964
5. Step 5: Solve for x
   x = 52,056,072,964/109,772
6. Step 6: Final answer
   x = 474,219.96