Finding the Third Proportional to 47,158 and 102,610

Step by Step Solution

1. Step 1: Write the proportion equation
   47,158 : 102,610 = 102,610 : x
2. Step 2: Convert to fraction form
   47,158/102,610 = 102,610/x
3. Step 3: Cross multiply
   47,158x = 102,610 × 102,610
4. Step 4: Simplify right side
   47,158x = 10,528,812,100
5. Step 5: Solve for x
   x = 10,528,812,100/47,158
6. Step 6: Final answer
   x = 223,266.72