Finding the Third Proportional to 53,922 and 117,006

Step by Step Solution

1. Step 1: Write the proportion equation
   53,922 : 117,006 = 117,006 : x
2. Step 2: Convert to fraction form
   53,922/117,006 = 117,006/x
3. Step 3: Cross multiply
   53,922x = 117,006 × 117,006
4. Step 4: Simplify right side
   53,922x = 13,690,404,036
5. Step 5: Solve for x
   x = 13,690,404,036/53,922
6. Step 6: Final answer
   x = 253,892.73