Finding the Third Proportional to 109,077 and 228,036

Step by Step Solution

1. Step 1: Write the proportion equation
   109,077 : 228,036 = 228,036 : x
2. Step 2: Convert to fraction form
   109,077/228,036 = 228,036/x
3. Step 3: Cross multiply
   109,077x = 228,036 × 228,036
4. Step 4: Simplify right side
   109,077x = 52,000,417,296
5. Step 5: Solve for x
   x = 52,000,417,296/109,077
6. Step 6: Final answer
   x = 476,731.28