Finding the Third Proportional to 106,028 and 231,109

Step by Step Solution

1. Step 1: Write the proportion equation
   106,028 : 231,109 = 231,109 : x
2. Step 2: Convert to fraction form
   106,028/231,109 = 231,109/x
3. Step 3: Cross multiply
   106,028x = 231,109 × 231,109
4. Step 4: Simplify right side
   106,028x = 53,411,369,881
5. Step 5: Solve for x
   x = 53,411,369,881/106,028
6. Step 6: Final answer
   x = 503,747.78