Finding the Third Proportional to 53,180 and 116,019

Step by Step Solution

1. Step 1: Write the proportion equation
   53,180 : 116,019 = 116,019 : x
2. Step 2: Convert to fraction form
   53,180/116,019 = 116,019/x
3. Step 3: Cross multiply
   53,180x = 116,019 × 116,019
4. Step 4: Simplify right side
   53,180x = 13,460,408,361
5. Step 5: Solve for x
   x = 13,460,408,361/53,180
6. Step 6: Final answer
   x = 253,110.35