Finding the Third Proportional to 53,626.50 and 117,621

Step by Step Solution

1. Step 1: Write the proportion equation
   53,626.50 : 117,621 = 117,621 : x
2. Step 2: Convert to fraction form
   53,626.50/117,621 = 117,621/x
3. Step 3: Cross multiply
   53,626.50x = 117,621 × 117,621
4. Step 4: Simplify right side
   53,626.50x = 13,834,699,641
5. Step 5: Solve for x
   x = 13,834,699,641/53,626.50
6. Step 6: Final answer
   x = 257,982.52