Finding the Third Proportional to 118,768 and 174,264

Step by Step Solution

1. Step 1: Write the proportion equation
   118,768 : 174,264 = 174,264 : x
2. Step 2: Convert to fraction form
   118,768/174,264 = 174,264/x
3. Step 3: Cross multiply
   118,768x = 174,264 × 174,264
4. Step 4: Simplify right side
   118,768x = 30,367,941,696
5. Step 5: Solve for x
   x = 30,367,941,696/118,768
6. Step 6: Final answer
   x = 255,691.28