Finding the Third Proportional to 116,838 and 175,059

Step by Step Solution

1. Step 1: Write the proportion equation
   116,838 : 175,059 = 175,059 : x
2. Step 2: Convert to fraction form
   116,838/175,059 = 175,059/x
3. Step 3: Cross multiply
   116,838x = 175,059 × 175,059
4. Step 4: Simplify right side
   116,838x = 30,645,653,481
5. Step 5: Solve for x
   x = 30,645,653,481/116,838
6. Step 6: Final answer
   x = 262,291.84