Finding the Third Proportional to 117,206 and 175,036

Step by Step Solution

1. Step 1: Write the proportion equation
   117,206 : 175,036 = 175,036 : x
2. Step 2: Convert to fraction form
   117,206/175,036 = 175,036/x
3. Step 3: Cross multiply
   117,206x = 175,036 × 175,036
4. Step 4: Simplify right side
   117,206x = 30,637,601,296
5. Step 5: Solve for x
   x = 30,637,601,296/117,206
6. Step 6: Final answer
   x = 261,399.60