Finding the Third Proportional to 53,452 and 116,013

Step by Step Solution

1. Step 1: Write the proportion equation
   53,452 : 116,013 = 116,013 : x
2. Step 2: Convert to fraction form
   53,452/116,013 = 116,013/x
3. Step 3: Cross multiply
   53,452x = 116,013 × 116,013
4. Step 4: Simplify right side
   53,452x = 13,459,016,169
5. Step 5: Solve for x
   x = 13,459,016,169/53,452
6. Step 6: Final answer
   x = 251,796.31