Finding the Third Proportional to 42,398 and 91,408

Step by Step Solution

1. Step 1: Write the proportion equation
   42,398 : 91,408 = 91,408 : x
2. Step 2: Convert to fraction form
   42,398/91,408 = 91,408/x
3. Step 3: Cross multiply
   42,398x = 91,408 × 91,408
4. Step 4: Simplify right side
   42,398x = 8,355,422,464
5. Step 5: Solve for x
   x = 8,355,422,464/42,398
6. Step 6: Final answer
   x = 197,071.15