Finding the Third Proportional to 117,066 and 256,434

Step by Step Solution

1. Step 1: Write the proportion equation
   117,066 : 256,434 = 256,434 : x
2. Step 2: Convert to fraction form
   117,066/256,434 = 256,434/x
3. Step 3: Cross multiply
   117,066x = 256,434 × 256,434
4. Step 4: Simplify right side
   117,066x = 65,758,396,356
5. Step 5: Solve for x
   x = 65,758,396,356/117,066
6. Step 6: Final answer
   x = 561,720.71