Finding the Third Proportional to 204,624 and 419,088.38

Step by Step Solution

1. Step 1: Write the proportion equation
   204,624 : 419,088.38 = 419,088.38 : x
2. Step 2: Convert to fraction form
   204,624/419,088.38 = 419,088.38/x
3. Step 3: Cross multiply
   204,624x = 419,088.38 × 419,088.38
4. Step 4: Simplify right side
   204,624x = 175,635,066,060.14
5. Step 5: Solve for x
   x = 175,635,066,060.14/204,624
6. Step 6: Final answer
   x = 858,330.72