Finding the Third Proportional to 117,280 and 256,067

Step by Step Solution

1. Step 1: Write the proportion equation
   117,280 : 256,067 = 256,067 : x
2. Step 2: Convert to fraction form
   117,280/256,067 = 256,067/x
3. Step 3: Cross multiply
   117,280x = 256,067 × 256,067
4. Step 4: Simplify right side
   117,280x = 65,570,308,489
5. Step 5: Solve for x
   x = 65,570,308,489/117,280
6. Step 6: Final answer
   x = 559,091.99