Finding the Third Proportional to 42,282 and 89,274

Step by Step Solution

1. Step 1: Write the proportion equation
   42,282 : 89,274 = 89,274 : x
2. Step 2: Convert to fraction form
   42,282/89,274 = 89,274/x
3. Step 3: Cross multiply
   42,282x = 89,274 × 89,274
4. Step 4: Simplify right side
   42,282x = 7,969,847,076
5. Step 5: Solve for x
   x = 7,969,847,076/42,282
6. Step 6: Final answer
   x = 188,492.67