Finding the Third Proportional to 106,456 and 231,812

Step by Step Solution

1. Step 1: Write the proportion equation
   106,456 : 231,812 = 231,812 : x
2. Step 2: Convert to fraction form
   106,456/231,812 = 231,812/x
3. Step 3: Cross multiply
   106,456x = 231,812 × 231,812
4. Step 4: Simplify right side
   106,456x = 53,736,803,344
5. Step 5: Solve for x
   x = 53,736,803,344/106,456
6. Step 6: Final answer
   x = 504,779.47