Finding the Third Proportional to 47,066 and 102,706

Step by Step Solution

1. Step 1: Write the proportion equation
   47,066 : 102,706 = 102,706 : x
2. Step 2: Convert to fraction form
   47,066/102,706 = 102,706/x
3. Step 3: Cross multiply
   47,066x = 102,706 × 102,706
4. Step 4: Simplify right side
   47,066x = 10,548,522,436
5. Step 5: Solve for x
   x = 10,548,522,436/47,066
6. Step 6: Final answer
   x = 224,121.92