Finding the Third Proportional to 51,667 and 105,516

Step by Step Solution

1. Step 1: Write the proportion equation
   51,667 : 105,516 = 105,516 : x
2. Step 2: Convert to fraction form
   51,667/105,516 = 105,516/x
3. Step 3: Cross multiply
   51,667x = 105,516 × 105,516
4. Step 4: Simplify right side
   51,667x = 11,133,626,256
5. Step 5: Solve for x
   x = 11,133,626,256/51,667
6. Step 6: Final answer
   x = 215,488.15