Finding the Third Proportional to 89,466 and 189,282

Step by Step Solution

1. Step 1: Write the proportion equation
   89,466 : 189,282 = 189,282 : x
2. Step 2: Convert to fraction form
   89,466/189,282 = 189,282/x
3. Step 3: Cross multiply
   89,466x = 189,282 × 189,282
4. Step 4: Simplify right side
   89,466x = 35,827,675,524
5. Step 5: Solve for x
   x = 35,827,675,524/89,466
6. Step 6: Final answer
   x = 400,461.35