Finding the Third Proportional to 231,822 and 507,978

Step by Step Solution

1. Step 1: Write the proportion equation
   231,822 : 507,978 = 507,978 : x
2. Step 2: Convert to fraction form
   231,822/507,978 = 507,978/x
3. Step 3: Cross multiply
   231,822x = 507,978 × 507,978
4. Step 4: Simplify right side
   231,822x = 258,041,648,484
5. Step 5: Solve for x
   x = 258,041,648,484/231,822
6. Step 6: Final answer
   x = 1,113,102.50