Finding the Third Proportional to 231,825 and 507,984

Step by Step Solution

1. Step 1: Write the proportion equation
   231,825 : 507,984 = 507,984 : x
2. Step 2: Convert to fraction form
   231,825/507,984 = 507,984/x
3. Step 3: Cross multiply
   231,825x = 507,984 × 507,984
4. Step 4: Simplify right side
   231,825x = 258,047,744,256
5. Step 5: Solve for x
   x = 258,047,744,256/231,825
6. Step 6: Final answer
   x = 1,113,114.39