Finding the Third Proportional to 59,184 and 89,392

Step by Step Solution

1. Step 1: Write the proportion equation
   59,184 : 89,392 = 89,392 : x
2. Step 2: Convert to fraction form
   59,184/89,392 = 89,392/x
3. Step 3: Cross multiply
   59,184x = 89,392 × 89,392
4. Step 4: Simplify right side
   59,184x = 7,990,929,664
5. Step 5: Solve for x
   x = 7,990,929,664/59,184
6. Step 6: Final answer
   x = 135,018.41