Finding the Third Proportional to 46,728 and 100,584

Step by Step Solution

1. Step 1: Write the proportion equation
   46,728 : 100,584 = 100,584 : x
2. Step 2: Convert to fraction form
   46,728/100,584 = 100,584/x
3. Step 3: Cross multiply
   46,728x = 100,584 × 100,584
4. Step 4: Simplify right side
   46,728x = 10,117,141,056
5. Step 5: Solve for x
   x = 10,117,141,056/46,728
6. Step 6: Final answer
   x = 216,511.32