Finding the Third Proportional to 59,298 and 84,408

Step by Step Solution

1. Step 1: Write the proportion equation
   59,298 : 84,408 = 84,408 : x
2. Step 2: Convert to fraction form
   59,298/84,408 = 84,408/x
3. Step 3: Cross multiply
   59,298x = 84,408 × 84,408
4. Step 4: Simplify right side
   59,298x = 7,124,710,464
5. Step 5: Solve for x
   x = 7,124,710,464/59,298
6. Step 6: Final answer
   x = 120,150.94