Finding the Third Proportional to 116,333 and 175,470

Step by Step Solution

1. Step 1: Write the proportion equation
   116,333 : 175,470 = 175,470 : x
2. Step 2: Convert to fraction form
   116,333/175,470 = 175,470/x
3. Step 3: Cross multiply
   116,333x = 175,470 × 175,470
4. Step 4: Simplify right side
   116,333x = 30,789,720,900
5. Step 5: Solve for x
   x = 30,789,720,900/116,333
6. Step 6: Final answer
   x = 264,668.85