Finding the Third Proportional to 117,729.75 and 257,706

Step by Step Solution

1. Step 1: Write the proportion equation
   117,729.75 : 257,706 = 257,706 : x
2. Step 2: Convert to fraction form
   117,729.75/257,706 = 257,706/x
3. Step 3: Cross multiply
   117,729.75x = 257,706 × 257,706
4. Step 4: Simplify right side
   117,729.75x = 66,412,382,436
5. Step 5: Solve for x
   x = 66,412,382,436/117,729.75
6. Step 6: Final answer
   x = 564,108.75