Finding the Third Proportional to 53,499 and 113,910

Step by Step Solution

1. Step 1: Write the proportion equation
   53,499 : 113,910 = 113,910 : x
2. Step 2: Convert to fraction form
   53,499/113,910 = 113,910/x
3. Step 3: Cross multiply
   53,499x = 113,910 × 113,910
4. Step 4: Simplify right side
   53,499x = 12,975,488,100
5. Step 5: Solve for x
   x = 12,975,488,100/53,499
6. Step 6: Final answer
   x = 242,537.02