Finding the Third Proportional to 106,002 and 231,930

Step by Step Solution

1. Step 1: Write the proportion equation
   106,002 : 231,930 = 231,930 : x
2. Step 2: Convert to fraction form
   106,002/231,930 = 231,930/x
3. Step 3: Cross multiply
   106,002x = 231,930 × 231,930
4. Step 4: Simplify right side
   106,002x = 53,791,524,900
5. Step 5: Solve for x
   x = 53,791,524,900/106,002
6. Step 6: Final answer
   x = 507,457.64