Finding the Third Proportional to 47,856 and 100,942

Step by Step Solution

1. Step 1: Write the proportion equation
   47,856 : 100,942 = 100,942 : x
2. Step 2: Convert to fraction form
   47,856/100,942 = 100,942/x
3. Step 3: Cross multiply
   47,856x = 100,942 × 100,942
4. Step 4: Simplify right side
   47,856x = 10,189,287,364
5. Step 5: Solve for x
   x = 10,189,287,364/47,856
6. Step 6: Final answer
   x = 212,915.57