Finding the Third Proportional to 106,152 and 231,993

Step by Step Solution

1. Step 1: Write the proportion equation
   106,152 : 231,993 = 231,993 : x
2. Step 2: Convert to fraction form
   106,152/231,993 = 231,993/x
3. Step 3: Cross multiply
   106,152x = 231,993 × 231,993
4. Step 4: Simplify right side
   106,152x = 53,820,752,049
5. Step 5: Solve for x
   x = 53,820,752,049/106,152
6. Step 6: Final answer
   x = 507,015.90