Finding the Third Proportional to 114,296 and 175,788

Step by Step Solution

1. Step 1: Write the proportion equation
   114,296 : 175,788 = 175,788 : x
2. Step 2: Convert to fraction form
   114,296/175,788 = 175,788/x
3. Step 3: Cross multiply
   114,296x = 175,788 × 175,788
4. Step 4: Simplify right side
   114,296x = 30,901,420,944
5. Step 5: Solve for x
   x = 30,901,420,944/114,296
6. Step 6: Final answer
   x = 270,363.10