Finding the Third Proportional to 47,180 and 72,408

Step by Step Solution

1. Step 1: Write the proportion equation
   47,180 : 72,408 = 72,408 : x
2. Step 2: Convert to fraction form
   47,180/72,408 = 72,408/x
3. Step 3: Cross multiply
   47,180x = 72,408 × 72,408
4. Step 4: Simplify right side
   47,180x = 5,242,918,464
5. Step 5: Solve for x
   x = 5,242,918,464/47,180
6. Step 6: Final answer
   x = 111,125.87