Finding the Third Proportional to 116,478 and 175,678

Step by Step Solution

1. Step 1: Write the proportion equation
   116,478 : 175,678 = 175,678 : x
2. Step 2: Convert to fraction form
   116,478/175,678 = 175,678/x
3. Step 3: Cross multiply
   116,478x = 175,678 × 175,678
4. Step 4: Simplify right side
   116,478x = 30,862,759,684
5. Step 5: Solve for x
   x = 30,862,759,684/116,478
6. Step 6: Final answer
   x = 264,966.43