Finding the Third Proportional to 89,247 and 194,045

Step by Step Solution

1. Step 1: Write the proportion equation
   89,247 : 194,045 = 194,045 : x
2. Step 2: Convert to fraction form
   89,247/194,045 = 194,045/x
3. Step 3: Cross multiply
   89,247x = 194,045 × 194,045
4. Step 4: Simplify right side
   89,247x = 37,653,462,025
5. Step 5: Solve for x
   x = 37,653,462,025/89,247
6. Step 6: Final answer
   x = 421,901.71