Finding the Third Proportional to 68,406 and 105,075

Step by Step Solution

1. Step 1: Write the proportion equation
   68,406 : 105,075 = 105,075 : x
2. Step 2: Convert to fraction form
   68,406/105,075 = 105,075/x
3. Step 3: Cross multiply
   68,406x = 105,075 × 105,075
4. Step 4: Simplify right side
   68,406x = 11,040,755,625
5. Step 5: Solve for x
   x = 11,040,755,625/68,406
6. Step 6: Final answer
   x = 161,400.40