Finding the Third Proportional to 118,096 and 256,928

Step by Step Solution

1. Step 1: Write the proportion equation
   118,096 : 256,928 = 256,928 : x
2. Step 2: Convert to fraction form
   118,096/256,928 = 256,928/x
3. Step 3: Cross multiply
   118,096x = 256,928 × 256,928
4. Step 4: Simplify right side
   118,096x = 66,011,997,184
5. Step 5: Solve for x
   x = 66,011,997,184/118,096
6. Step 6: Final answer
   x = 558,968.95