Finding the Third Proportional to 46,480 and 101,872

Step by Step Solution

1. Step 1: Write the proportion equation
   46,480 : 101,872 = 101,872 : x
2. Step 2: Convert to fraction form
   46,480/101,872 = 101,872/x
3. Step 3: Cross multiply
   46,480x = 101,872 × 101,872
4. Step 4: Simplify right side
   46,480x = 10,377,904,384
5. Step 5: Solve for x
   x = 10,377,904,384/46,480
6. Step 6: Final answer
   x = 223,276.77