Finding the Third Proportional to 118,308 and 256,288

Step by Step Solution

1. Step 1: Write the proportion equation
   118,308 : 256,288 = 256,288 : x
2. Step 2: Convert to fraction form
   118,308/256,288 = 256,288/x
3. Step 3: Cross multiply
   118,308x = 256,288 × 256,288
4. Step 4: Simplify right side
   118,308x = 65,683,538,944
5. Step 5: Solve for x
   x = 65,683,538,944/118,308
6. Step 6: Final answer
   x = 555,191.02