Finding the Third Proportional to 117,797 and 175,095

Step by Step Solution

1. Step 1: Write the proportion equation
   117,797 : 175,095 = 175,095 : x
2. Step 2: Convert to fraction form
   117,797/175,095 = 175,095/x
3. Step 3: Cross multiply
   117,797x = 175,095 × 175,095
4. Step 4: Simplify right side
   117,797x = 30,658,259,025
5. Step 5: Solve for x
   x = 30,658,259,025/117,797
6. Step 6: Final answer
   x = 260,263.50