Finding the Third Proportional to 383,886 and 581,114.25

Step by Step Solution

1. Step 1: Write the proportion equation
   383,886 : 581,114.25 = 581,114.25 : x
2. Step 2: Convert to fraction form
   383,886/581,114.25 = 581,114.25/x
3. Step 3: Cross multiply
   383,886x = 581,114.25 × 581,114.25
4. Step 4: Simplify right side
   383,886x = 337,693,771,553.06
5. Step 5: Solve for x
   x = 337,693,771,553.06/383,886
6. Step 6: Final answer
   x = 879,672.02