Finding the Third Proportional to 107,826 and 233,978

Step by Step Solution

1. Step 1: Write the proportion equation
   107,826 : 233,978 = 233,978 : x
2. Step 2: Convert to fraction form
   107,826/233,978 = 233,978/x
3. Step 3: Cross multiply
   107,826x = 233,978 × 233,978
4. Step 4: Simplify right side
   107,826x = 54,745,704,484
5. Step 5: Solve for x
   x = 54,745,704,484/107,826
6. Step 6: Final answer
   x = 507,722.67