Finding the Third Proportional to 47,558 and 100,422

Step by Step Solution

1. Step 1: Write the proportion equation
   47,558 : 100,422 = 100,422 : x
2. Step 2: Convert to fraction form
   47,558/100,422 = 100,422/x
3. Step 3: Cross multiply
   47,558x = 100,422 × 100,422
4. Step 4: Simplify right side
   47,558x = 10,084,578,084
5. Step 5: Solve for x
   x = 10,084,578,084/47,558
6. Step 6: Final answer
   x = 212,047.99