Finding the Third Proportional to 231,827 and 488,907

Step by Step Solution

1. Step 1: Write the proportion equation
   231,827 : 488,907 = 488,907 : x
2. Step 2: Convert to fraction form
   231,827/488,907 = 488,907/x
3. Step 3: Cross multiply
   231,827x = 488,907 × 488,907
4. Step 4: Simplify right side
   231,827x = 239,030,054,649
5. Step 5: Solve for x
   x = 239,030,054,649/231,827
6. Step 6: Final answer
   x = 1,031,070.82