Finding the Third Proportional to 114,608 and 175,206

Step by Step Solution

1. Step 1: Write the proportion equation
   114,608 : 175,206 = 175,206 : x
2. Step 2: Convert to fraction form
   114,608/175,206 = 175,206/x
3. Step 3: Cross multiply
   114,608x = 175,206 × 175,206
4. Step 4: Simplify right side
   114,608x = 30,697,142,436
5. Step 5: Solve for x
   x = 30,697,142,436/114,608
6. Step 6: Final answer
   x = 267,844.67