Finding the Third Proportional to 47,123 and 100,783

Step by Step Solution

1. Step 1: Write the proportion equation
   47,123 : 100,783 = 100,783 : x
2. Step 2: Convert to fraction form
   47,123/100,783 = 100,783/x
3. Step 3: Cross multiply
   47,123x = 100,783 × 100,783
4. Step 4: Simplify right side
   47,123x = 10,157,213,089
5. Step 5: Solve for x
   x = 10,157,213,089/47,123
6. Step 6: Final answer
   x = 215,546.83