Finding the Third Proportional to 46,716 and 109,673

Step by Step Solution

1. Step 1: Write the proportion equation
   46,716 : 109,673 = 109,673 : x
2. Step 2: Convert to fraction form
   46,716/109,673 = 109,673/x
3. Step 3: Cross multiply
   46,716x = 109,673 × 109,673
4. Step 4: Simplify right side
   46,716x = 12,028,166,929
5. Step 5: Solve for x
   x = 12,028,166,929/46,716
6. Step 6: Final answer
   x = 257,474.25