Finding the Third Proportional to 53,626 and 117,826

Step by Step Solution

1. Step 1: Write the proportion equation
   53,626 : 117,826 = 117,826 : x
2. Step 2: Convert to fraction form
   53,626/117,826 = 117,826/x
3. Step 3: Cross multiply
   53,626x = 117,826 × 117,826
4. Step 4: Simplify right side
   53,626x = 13,882,966,276
5. Step 5: Solve for x
   x = 13,882,966,276/53,626
6. Step 6: Final answer
   x = 258,884.99