Finding the Third Proportional to 117,370 and 175,605

Step by Step Solution

1. Step 1: Write the proportion equation
   117,370 : 175,605 = 175,605 : x
2. Step 2: Convert to fraction form
   117,370/175,605 = 175,605/x
3. Step 3: Cross multiply
   117,370x = 175,605 × 175,605
4. Step 4: Simplify right side
   117,370x = 30,837,116,025
5. Step 5: Solve for x
   x = 30,837,116,025/117,370
6. Step 6: Final answer
   x = 262,734.23