Finding the Third Proportional to 74,771 and 114,510

Step by Step Solution

1. Step 1: Write the proportion equation
   74,771 : 114,510 = 114,510 : x
2. Step 2: Convert to fraction form
   74,771/114,510 = 114,510/x
3. Step 3: Cross multiply
   74,771x = 114,510 × 114,510
4. Step 4: Simplify right side
   74,771x = 13,112,540,100
5. Step 5: Solve for x
   x = 13,112,540,100/74,771
6. Step 6: Final answer
   x = 175,369.33