Finding the Third Proportional to 117,036 and 175,298

Step by Step Solution

1. Step 1: Write the proportion equation
   117,036 : 175,298 = 175,298 : x
2. Step 2: Convert to fraction form
   117,036/175,298 = 175,298/x
3. Step 3: Cross multiply
   117,036x = 175,298 × 175,298
4. Step 4: Simplify right side
   117,036x = 30,729,388,804
5. Step 5: Solve for x
   x = 30,729,388,804/117,036
6. Step 6: Final answer
   x = 262,563.56