Finding the Third Proportional to 105,309 and 231,030

Step by Step Solution

1. Step 1: Write the proportion equation
   105,309 : 231,030 = 231,030 : x
2. Step 2: Convert to fraction form
   105,309/231,030 = 231,030/x
3. Step 3: Cross multiply
   105,309x = 231,030 × 231,030
4. Step 4: Simplify right side
   105,309x = 53,374,860,900
5. Step 5: Solve for x
   x = 53,374,860,900/105,309
6. Step 6: Final answer
   x = 506,840.45