Finding the Third Proportional to 47,156 and 102,736

Step by Step Solution

1. Step 1: Write the proportion equation
   47,156 : 102,736 = 102,736 : x
2. Step 2: Convert to fraction form
   47,156/102,736 = 102,736/x
3. Step 3: Cross multiply
   47,156x = 102,736 × 102,736
4. Step 4: Simplify right side
   47,156x = 10,554,685,696
5. Step 5: Solve for x
   x = 10,554,685,696/47,156
6. Step 6: Final answer
   x = 223,824.87