Finding the Third Proportional to 105,696 and 231,075

Step by Step Solution

1. Step 1: Write the proportion equation
   105,696 : 231,075 = 231,075 : x
2. Step 2: Convert to fraction form
   105,696/231,075 = 231,075/x
3. Step 3: Cross multiply
   105,696x = 231,075 × 231,075
4. Step 4: Simplify right side
   105,696x = 53,395,655,625
5. Step 5: Solve for x
   x = 53,395,655,625/105,696
6. Step 6: Final answer
   x = 505,181.42