Finding the Third Proportional to 47,106 and 103,509

Step by Step Solution

1. Step 1: Write the proportion equation
   47,106 : 103,509 = 103,509 : x
2. Step 2: Convert to fraction form
   47,106/103,509 = 103,509/x
3. Step 3: Cross multiply
   47,106x = 103,509 × 103,509
4. Step 4: Simplify right side
   47,106x = 10,714,113,081
5. Step 5: Solve for x
   x = 10,714,113,081/47,106
6. Step 6: Final answer
   x = 227,446.89