Finding the Third Proportional to 53,524.55 and 117,640.27

Step by Step Solution

1. Step 1: Write the proportion equation
   53,524.55 : 117,640.27 = 117,640.27 : x
2. Step 2: Convert to fraction form
   53,524.55/117,640.27 = 117,640.27/x
3. Step 3: Cross multiply
   53,524.55x = 117,640.27 × 117,640.27
4. Step 4: Simplify right side
   53,524.55x = 13,839,232,096.32
5. Step 5: Solve for x
   x = 13,839,232,096.32/53,524.55
6. Step 6: Final answer
   x = 258,558.60