Finding the Third Proportional to 47,378 and 100,372

Step by Step Solution

1. Step 1: Write the proportion equation
   47,378 : 100,372 = 100,372 : x
2. Step 2: Convert to fraction form
   47,378/100,372 = 100,372/x
3. Step 3: Cross multiply
   47,378x = 100,372 × 100,372
4. Step 4: Simplify right side
   47,378x = 10,074,538,384
5. Step 5: Solve for x
   x = 10,074,538,384/47,378
6. Step 6: Final answer
   x = 212,641.70