Finding the Third Proportional to 53,724 and 113,853

Step by Step Solution

1. Step 1: Write the proportion equation
   53,724 : 113,853 = 113,853 : x
2. Step 2: Convert to fraction form
   53,724/113,853 = 113,853/x
3. Step 3: Cross multiply
   53,724x = 113,853 × 113,853
4. Step 4: Simplify right side
   53,724x = 12,962,505,609
5. Step 5: Solve for x
   x = 12,962,505,609/53,724
6. Step 6: Final answer
   x = 241,279.61