Finding the Third Proportional to 231,830 and 507,994

Step by Step Solution

1. Step 1: Write the proportion equation
   231,830 : 507,994 = 507,994 : x
2. Step 2: Convert to fraction form
   231,830/507,994 = 507,994/x
3. Step 3: Cross multiply
   231,830x = 507,994 × 507,994
4. Step 4: Simplify right side
   231,830x = 258,057,904,036
5. Step 5: Solve for x
   x = 258,057,904,036/231,830
6. Step 6: Final answer
   x = 1,113,134.21