Finding the Third Proportional to 53,188 and 113,288

Step by Step Solution

1. Step 1: Write the proportion equation
   53,188 : 113,288 = 113,288 : x
2. Step 2: Convert to fraction form
   53,188/113,288 = 113,288/x
3. Step 3: Cross multiply
   53,188x = 113,288 × 113,288
4. Step 4: Simplify right side
   53,188x = 12,834,170,944
5. Step 5: Solve for x
   x = 12,834,170,944/53,188
6. Step 6: Final answer
   x = 241,298.24