Finding the Third Proportional to 106,749 and 231,030

Step by Step Solution

1. Step 1: Write the proportion equation
   106,749 : 231,030 = 231,030 : x
2. Step 2: Convert to fraction form
   106,749/231,030 = 231,030/x
3. Step 3: Cross multiply
   106,749x = 231,030 × 231,030
4. Step 4: Simplify right side
   106,749x = 53,374,860,900
5. Step 5: Solve for x
   x = 53,374,860,900/106,749
6. Step 6: Final answer
   x = 500,003.38