Finding the Third Proportional to 231,852 and 507,984

Step by Step Solution

1. Step 1: Write the proportion equation
   231,852 : 507,984 = 507,984 : x
2. Step 2: Convert to fraction form
   231,852/507,984 = 507,984/x
3. Step 3: Cross multiply
   231,852x = 507,984 × 507,984
4. Step 4: Simplify right side
   231,852x = 258,047,744,256
5. Step 5: Solve for x
   x = 258,047,744,256/231,852
6. Step 6: Final answer
   x = 1,112,984.77