Finding the Third Proportional to 105,774 and 230,841

Step by Step Solution

1. Step 1: Write the proportion equation
   105,774 : 230,841 = 230,841 : x
2. Step 2: Convert to fraction form
   105,774/230,841 = 230,841/x
3. Step 3: Cross multiply
   105,774x = 230,841 × 230,841
4. Step 4: Simplify right side
   105,774x = 53,287,567,281
5. Step 5: Solve for x
   x = 53,287,567,281/105,774
6. Step 6: Final answer
   x = 503,787.01