Finding the Third Proportional to 47,156 and 102,606

Step by Step Solution

1. Step 1: Write the proportion equation
   47,156 : 102,606 = 102,606 : x
2. Step 2: Convert to fraction form
   47,156/102,606 = 102,606/x
3. Step 3: Cross multiply
   47,156x = 102,606 × 102,606
4. Step 4: Simplify right side
   47,156x = 10,527,991,236
5. Step 5: Solve for x
   x = 10,527,991,236/47,156
6. Step 6: Final answer
   x = 223,258.78