Finding the Third Proportional to 53,617.50 and 117,738

Step by Step Solution

1. Step 1: Write the proportion equation
   53,617.50 : 117,738 = 117,738 : x
2. Step 2: Convert to fraction form
   53,617.50/117,738 = 117,738/x
3. Step 3: Cross multiply
   53,617.50x = 117,738 × 117,738
4. Step 4: Simplify right side
   53,617.50x = 13,862,236,644
5. Step 5: Solve for x
   x = 13,862,236,644/53,617.50
6. Step 6: Final answer
   x = 258,539.41