Finding the Third Proportional to 118,197 and 256,086

Step by Step Solution

1. Step 1: Write the proportion equation
   118,197 : 256,086 = 256,086 : x
2. Step 2: Convert to fraction form
   118,197/256,086 = 256,086/x
3. Step 3: Cross multiply
   118,197x = 256,086 × 256,086
4. Step 4: Simplify right side
   118,197x = 65,580,039,396
5. Step 5: Solve for x
   x = 65,580,039,396/118,197
6. Step 6: Final answer
   x = 554,836.75