Finding the Third Proportional to 53,889 and 117,105

Step by Step Solution

1. Step 1: Write the proportion equation
   53,889 : 117,105 = 117,105 : x
2. Step 2: Convert to fraction form
   53,889/117,105 = 117,105/x
3. Step 3: Cross multiply
   53,889x = 117,105 × 117,105
4. Step 4: Simplify right side
   53,889x = 13,713,581,025
5. Step 5: Solve for x
   x = 13,713,581,025/53,889
6. Step 6: Final answer
   x = 254,478.30