Finding the Third Proportional to 231,705 and 507,697

Step by Step Solution

1. Step 1: Write the proportion equation
   231,705 : 507,697 = 507,697 : x
2. Step 2: Convert to fraction form
   231,705/507,697 = 507,697/x
3. Step 3: Cross multiply
   231,705x = 507,697 × 507,697
4. Step 4: Simplify right side
   231,705x = 257,756,243,809
5. Step 5: Solve for x
   x = 257,756,243,809/231,705
6. Step 6: Final answer
   x = 1,112,432.81