Finding the Third Proportional to 53,096 and 116,038

Step by Step Solution

1. Step 1: Write the proportion equation
   53,096 : 116,038 = 116,038 : x
2. Step 2: Convert to fraction form
   53,096/116,038 = 116,038/x
3. Step 3: Cross multiply
   53,096x = 116,038 × 116,038
4. Step 4: Simplify right side
   53,096x = 13,464,817,444
5. Step 5: Solve for x
   x = 13,464,817,444/53,096
6. Step 6: Final answer
   x = 253,593.82