Finding the Third Proportional to 231,870 and 488,642

Step by Step Solution

1. Step 1: Write the proportion equation
   231,870 : 488,642 = 488,642 : x
2. Step 2: Convert to fraction form
   231,870/488,642 = 488,642/x
3. Step 3: Cross multiply
   231,870x = 488,642 × 488,642
4. Step 4: Simplify right side
   231,870x = 238,771,004,164
5. Step 5: Solve for x
   x = 238,771,004,164/231,870
6. Step 6: Final answer
   x = 1,029,762.38