Finding the Third Proportional to 118,530 and 256,824

Step by Step Solution

1. Step 1: Write the proportion equation
   118,530 : 256,824 = 256,824 : x
2. Step 2: Convert to fraction form
   118,530/256,824 = 256,824/x
3. Step 3: Cross multiply
   118,530x = 256,824 × 256,824
4. Step 4: Simplify right side
   118,530x = 65,958,566,976
5. Step 5: Solve for x
   x = 65,958,566,976/118,530
6. Step 6: Final answer
   x = 556,471.50