Finding the Third Proportional to 53,953.50 and 117,567

Step by Step Solution

1. Step 1: Write the proportion equation
   53,953.50 : 117,567 = 117,567 : x
2. Step 2: Convert to fraction form
   53,953.50/117,567 = 117,567/x
3. Step 3: Cross multiply
   53,953.50x = 117,567 × 117,567
4. Step 4: Simplify right side
   53,953.50x = 13,821,999,489
5. Step 5: Solve for x
   x = 13,821,999,489/53,953.50
6. Step 6: Final answer
   x = 256,183.56