Finding the Third Proportional to 106,504 and 231,800

Step by Step Solution

1. Step 1: Write the proportion equation
   106,504 : 231,800 = 231,800 : x
2. Step 2: Convert to fraction form
   106,504/231,800 = 231,800/x
3. Step 3: Cross multiply
   106,504x = 231,800 × 231,800
4. Step 4: Simplify right side
   106,504x = 53,731,240,000
5. Step 5: Solve for x
   x = 53,731,240,000/106,504
6. Step 6: Final answer
   x = 504,499.74