Finding the Third Proportional to 47,870 and 101,794

Step by Step Solution

1. Step 1: Write the proportion equation
   47,870 : 101,794 = 101,794 : x
2. Step 2: Convert to fraction form
   47,870/101,794 = 101,794/x
3. Step 3: Cross multiply
   47,870x = 101,794 × 101,794
4. Step 4: Simplify right side
   47,870x = 10,362,018,436
5. Step 5: Solve for x
   x = 10,362,018,436/47,870
6. Step 6: Final answer
   x = 216,461.63