Finding the Third Proportional to 117,726.75 and 257,700

Step by Step Solution

1. Step 1: Write the proportion equation
   117,726.75 : 257,700 = 257,700 : x
2. Step 2: Convert to fraction form
   117,726.75/257,700 = 257,700/x
3. Step 3: Cross multiply
   117,726.75x = 257,700 × 257,700
4. Step 4: Simplify right side
   117,726.75x = 66,409,290,000
5. Step 5: Solve for x
   x = 66,409,290,000/117,726.75
6. Step 6: Final answer
   x = 564,096.86