Finding the Third Proportional to 38,184 and 90,282

Step by Step Solution

1. Step 1: Write the proportion equation
   38,184 : 90,282 = 90,282 : x
2. Step 2: Convert to fraction form
   38,184/90,282 = 90,282/x
3. Step 3: Cross multiply
   38,184x = 90,282 × 90,282
4. Step 4: Simplify right side
   38,184x = 8,150,839,524
5. Step 5: Solve for x
   x = 8,150,839,524/38,184
6. Step 6: Final answer
   x = 213,462.17