Finding the Third Proportional to 53,096 and 114,062

Step by Step Solution

1. Step 1: Write the proportion equation
   53,096 : 114,062 = 114,062 : x
2. Step 2: Convert to fraction form
   53,096/114,062 = 114,062/x
3. Step 3: Cross multiply
   53,096x = 114,062 × 114,062
4. Step 4: Simplify right side
   53,096x = 13,010,139,844
5. Step 5: Solve for x
   x = 13,010,139,844/53,096
6. Step 6: Final answer
   x = 245,030.51