Finding the Third Proportional to 47,813 and 101,098

Step by Step Solution

1. Step 1: Write the proportion equation
   47,813 : 101,098 = 101,098 : x
2. Step 2: Convert to fraction form
   47,813/101,098 = 101,098/x
3. Step 3: Cross multiply
   47,813x = 101,098 × 101,098
4. Step 4: Simplify right side
   47,813x = 10,220,805,604
5. Step 5: Solve for x
   x = 10,220,805,604/47,813
6. Step 6: Final answer
   x = 213,766.25