Finding the Third Proportional to 231,826 and 507,986

Step by Step Solution

1. Step 1: Write the proportion equation
   231,826 : 507,986 = 507,986 : x
2. Step 2: Convert to fraction form
   231,826/507,986 = 507,986/x
3. Step 3: Cross multiply
   231,826x = 507,986 × 507,986
4. Step 4: Simplify right side
   231,826x = 258,049,776,196
5. Step 5: Solve for x
   x = 258,049,776,196/231,826
6. Step 6: Final answer
   x = 1,113,118.36