Finding the Third Proportional to 109,077 and 237,864

Step by Step Solution

1. Step 1: Write the proportion equation
   109,077 : 237,864 = 237,864 : x
2. Step 2: Convert to fraction form
   109,077/237,864 = 237,864/x
3. Step 3: Cross multiply
   109,077x = 237,864 × 237,864
4. Step 4: Simplify right side
   109,077x = 56,579,282,496
5. Step 5: Solve for x
   x = 56,579,282,496/109,077
6. Step 6: Final answer
   x = 518,709.56