Finding the Third Proportional to 53,534 and 113,096

Step by Step Solution

1. Step 1: Write the proportion equation
   53,534 : 113,096 = 113,096 : x
2. Step 2: Convert to fraction form
   53,534/113,096 = 113,096/x
3. Step 3: Cross multiply
   53,534x = 113,096 × 113,096
4. Step 4: Simplify right side
   53,534x = 12,790,705,216
5. Step 5: Solve for x
   x = 12,790,705,216/53,534
6. Step 6: Final answer
   x = 238,926.76