Finding the Third Proportional to 89,916 and 194,412

Step by Step Solution

1. Step 1: Write the proportion equation
   89,916 : 194,412 = 194,412 : x
2. Step 2: Convert to fraction form
   89,916/194,412 = 194,412/x
3. Step 3: Cross multiply
   89,916x = 194,412 × 194,412
4. Step 4: Simplify right side
   89,916x = 37,796,025,744
5. Step 5: Solve for x
   x = 37,796,025,744/89,916
6. Step 6: Final answer
   x = 420,348.17