Finding the Third Proportional to 46,746 and 100,049.25

Step by Step Solution

1. Step 1: Write the proportion equation
   46,746 : 100,049.25 = 100,049.25 : x
2. Step 2: Convert to fraction form
   46,746/100,049.25 = 100,049.25/x
3. Step 3: Cross multiply
   46,746x = 100,049.25 × 100,049.25
4. Step 4: Simplify right side
   46,746x = 10,009,852,425.56
5. Step 5: Solve for x
   x = 10,009,852,425.56/46,746
6. Step 6: Final answer
   x = 214,132.81