Finding the Third Proportional to 47,910 and 100,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,910 : 100,786.50 = 100,786.50 : x
2. Step 2: Convert to fraction form
   47,910/100,786.50 = 100,786.50/x
3. Step 3: Cross multiply
   47,910x = 100,786.50 × 100,786.50
4. Step 4: Simplify right side
   47,910x = 10,157,918,582.25
5. Step 5: Solve for x
   x = 10,157,918,582.25/47,910
6. Step 6: Final answer
   x = 212,020.84