Finding the Third Proportional to 53,038 and 116,740

Step by Step Solution

1. Step 1: Write the proportion equation
   53,038 : 116,740 = 116,740 : x
2. Step 2: Convert to fraction form
   53,038/116,740 = 116,740/x
3. Step 3: Cross multiply
   53,038x = 116,740 × 116,740
4. Step 4: Simplify right side
   53,038x = 13,628,227,600
5. Step 5: Solve for x
   x = 13,628,227,600/53,038
6. Step 6: Final answer
   x = 256,952.14