Finding the Third Proportional to 118,320 and 256,708

Step by Step Solution

1. Step 1: Write the proportion equation
   118,320 : 256,708 = 256,708 : x
2. Step 2: Convert to fraction form
   118,320/256,708 = 256,708/x
3. Step 3: Cross multiply
   118,320x = 256,708 × 256,708
4. Step 4: Simplify right side
   118,320x = 65,898,997,264
5. Step 5: Solve for x
   x = 65,898,997,264/118,320
6. Step 6: Final answer
   x = 556,955.69