Finding the Third Proportional to 47,508 and 100,380

Step by Step Solution

1. Step 1: Write the proportion equation
   47,508 : 100,380 = 100,380 : x
2. Step 2: Convert to fraction form
   47,508/100,380 = 100,380/x
3. Step 3: Cross multiply
   47,508x = 100,380 × 100,380
4. Step 4: Simplify right side
   47,508x = 10,076,144,400
5. Step 5: Solve for x
   x = 10,076,144,400/47,508
6. Step 6: Final answer
   x = 212,093.63