Finding the Third Proportional to 116,468 and 175,662

Step by Step Solution

1. Step 1: Write the proportion equation
   116,468 : 175,662 = 175,662 : x
2. Step 2: Convert to fraction form
   116,468/175,662 = 175,662/x
3. Step 3: Cross multiply
   116,468x = 175,662 × 175,662
4. Step 4: Simplify right side
   116,468x = 30,857,138,244
5. Step 5: Solve for x
   x = 30,857,138,244/116,468
6. Step 6: Final answer
   x = 264,940.91