Finding the Third Proportional to 117,711 and 257,289.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,711 : 257,289.75 = 257,289.75 : x
2. Step 2: Convert to fraction form
   117,711/257,289.75 = 257,289.75/x
3. Step 3: Cross multiply
   117,711x = 257,289.75 × 257,289.75
4. Step 4: Simplify right side
   117,711x = 66,198,015,455.06
5. Step 5: Solve for x
   x = 66,198,015,455.06/117,711
6. Step 6: Final answer
   x = 562,377.48