Finding the Third Proportional to 117,783.75 and 257,997

Step by Step Solution

1. Step 1: Write the proportion equation
   117,783.75 : 257,997 = 257,997 : x
2. Step 2: Convert to fraction form
   117,783.75/257,997 = 257,997/x
3. Step 3: Cross multiply
   117,783.75x = 257,997 × 257,997
4. Step 4: Simplify right side
   117,783.75x = 66,562,452,009
5. Step 5: Solve for x
   x = 66,562,452,009/117,783.75
6. Step 6: Final answer
   x = 565,124.24