Finding the Third Proportional to 89,249 and 194,049

Step by Step Solution

1. Step 1: Write the proportion equation
   89,249 : 194,049 = 194,049 : x
2. Step 2: Convert to fraction form
   89,249/194,049 = 194,049/x
3. Step 3: Cross multiply
   89,249x = 194,049 × 194,049
4. Step 4: Simplify right side
   89,249x = 37,655,014,401
5. Step 5: Solve for x
   x = 37,655,014,401/89,249
6. Step 6: Final answer
   x = 421,909.65