Finding the Third Proportional to 48,144 and 100,662

Step by Step Solution

1. Step 1: Write the proportion equation
   48,144 : 100,662 = 100,662 : x
2. Step 2: Convert to fraction form
   48,144/100,662 = 100,662/x
3. Step 3: Cross multiply
   48,144x = 100,662 × 100,662
4. Step 4: Simplify right side
   48,144x = 10,132,838,244
5. Step 5: Solve for x
   x = 10,132,838,244/48,144
6. Step 6: Final answer
   x = 210,469.39