Finding the Third Proportional to 189,576 and 405,029.25

Step by Step Solution

1. Step 1: Write the proportion equation
   189,576 : 405,029.25 = 405,029.25 : x
2. Step 2: Convert to fraction form
   189,576/405,029.25 = 405,029.25/x
3. Step 3: Cross multiply
   189,576x = 405,029.25 × 405,029.25
4. Step 4: Simplify right side
   189,576x = 164,048,693,355.56
5. Step 5: Solve for x
   x = 164,048,693,355.56/189,576
6. Step 6: Final answer
   x = 865,345.26