Finding the Third Proportional to 231,470 and 507,256

Step by Step Solution

1. Step 1: Write the proportion equation
   231,470 : 507,256 = 507,256 : x
2. Step 2: Convert to fraction form
   231,470/507,256 = 507,256/x
3. Step 3: Cross multiply
   231,470x = 507,256 × 507,256
4. Step 4: Simplify right side
   231,470x = 257,308,649,536
5. Step 5: Solve for x
   x = 257,308,649,536/231,470
6. Step 6: Final answer
   x = 1,111,628.50