Finding the Third Proportional to 89,238 and 194,024

Step by Step Solution

1. Step 1: Write the proportion equation
   89,238 : 194,024 = 194,024 : x
2. Step 2: Convert to fraction form
   89,238/194,024 = 194,024/x
3. Step 3: Cross multiply
   89,238x = 194,024 × 194,024
4. Step 4: Simplify right side
   89,238x = 37,645,312,576
5. Step 5: Solve for x
   x = 37,645,312,576/89,238
6. Step 6: Final answer
   x = 421,852.94