Finding the Third Proportional to 194,834.25 and 404,975.25

Step by Step Solution

1. Step 1: Write the proportion equation
   194,834.25 : 404,975.25 = 404,975.25 : x
2. Step 2: Convert to fraction form
   194,834.25/404,975.25 = 404,975.25/x
3. Step 3: Cross multiply
   194,834.25x = 404,975.25 × 404,975.25
4. Step 4: Simplify right side
   194,834.25x = 164,004,953,112.56
5. Step 5: Solve for x
   x = 164,004,953,112.56/194,834.25
6. Step 6: Final answer
   x = 841,766.54