Finding the Third Proportional to 116,454 and 175,647

Step by Step Solution

1. Step 1: Write the proportion equation
   116,454 : 175,647 = 175,647 : x
2. Step 2: Convert to fraction form
   116,454/175,647 = 175,647/x
3. Step 3: Cross multiply
   116,454x = 175,647 × 175,647
4. Step 4: Simplify right side
   116,454x = 30,851,868,609
5. Step 5: Solve for x
   x = 30,851,868,609/116,454
6. Step 6: Final answer
   x = 264,927.51