Finding the Third Proportional to 46,564 and 101,384

Step by Step Solution

1. Step 1: Write the proportion equation
   46,564 : 101,384 = 101,384 : x
2. Step 2: Convert to fraction form
   46,564/101,384 = 101,384/x
3. Step 3: Cross multiply
   46,564x = 101,384 × 101,384
4. Step 4: Simplify right side
   46,564x = 10,278,715,456
5. Step 5: Solve for x
   x = 10,278,715,456/46,564
6. Step 6: Final answer
   x = 220,743.82