Finding the Third Proportional to 47,581 and 102,469

Step by Step Solution

1. Step 1: Write the proportion equation
   47,581 : 102,469 = 102,469 : x
2. Step 2: Convert to fraction form
   47,581/102,469 = 102,469/x
3. Step 3: Cross multiply
   47,581x = 102,469 × 102,469
4. Step 4: Simplify right side
   47,581x = 10,499,895,961
5. Step 5: Solve for x
   x = 10,499,895,961/47,581
6. Step 6: Final answer
   x = 220,674.13