Finding the Third Proportional to 47,444 and 100,354

Step by Step Solution

1. Step 1: Write the proportion equation
   47,444 : 100,354 = 100,354 : x
2. Step 2: Convert to fraction form
   47,444/100,354 = 100,354/x
3. Step 3: Cross multiply
   47,444x = 100,354 × 100,354
4. Step 4: Simplify right side
   47,444x = 10,070,925,316
5. Step 5: Solve for x
   x = 10,070,925,316/47,444
6. Step 6: Final answer
   x = 212,269.74