Finding the Third Proportional to 105,777 and 230,844

Step by Step Solution

1. Step 1: Write the proportion equation
   105,777 : 230,844 = 230,844 : x
2. Step 2: Convert to fraction form
   105,777/230,844 = 230,844/x
3. Step 3: Cross multiply
   105,777x = 230,844 × 230,844
4. Step 4: Simplify right side
   105,777x = 53,288,952,336
5. Step 5: Solve for x
   x = 53,288,952,336/105,777
6. Step 6: Final answer
   x = 503,785.82