Finding the Third Proportional to 53,631 and 114,384

Step by Step Solution

1. Step 1: Write the proportion equation
   53,631 : 114,384 = 114,384 : x
2. Step 2: Convert to fraction form
   53,631/114,384 = 114,384/x
3. Step 3: Cross multiply
   53,631x = 114,384 × 114,384
4. Step 4: Simplify right side
   53,631x = 13,083,699,456
5. Step 5: Solve for x
   x = 13,083,699,456/53,631
6. Step 6: Final answer
   x = 243,957.78