Finding the Third Proportional to 53,499 and 113,529

Step by Step Solution

1. Step 1: Write the proportion equation
   53,499 : 113,529 = 113,529 : x
2. Step 2: Convert to fraction form
   53,499/113,529 = 113,529/x
3. Step 3: Cross multiply
   53,499x = 113,529 × 113,529
4. Step 4: Simplify right side
   53,499x = 12,888,833,841
5. Step 5: Solve for x
   x = 12,888,833,841/53,499
6. Step 6: Final answer
   x = 240,917.29