Finding the Third Proportional to 47,371 and 101,306

Step by Step Solution

1. Step 1: Write the proportion equation
   47,371 : 101,306 = 101,306 : x
2. Step 2: Convert to fraction form
   47,371/101,306 = 101,306/x
3. Step 3: Cross multiply
   47,371x = 101,306 × 101,306
4. Step 4: Simplify right side
   47,371x = 10,262,905,636
5. Step 5: Solve for x
   x = 10,262,905,636/47,371
6. Step 6: Final answer
   x = 216,649.55