Finding the Third Proportional to 111,458 and 171,075

Step by Step Solution

1. Step 1: Write the proportion equation
   111,458 : 171,075 = 171,075 : x
2. Step 2: Convert to fraction form
   111,458/171,075 = 171,075/x
3. Step 3: Cross multiply
   111,458x = 171,075 × 171,075
4. Step 4: Simplify right side
   111,458x = 29,266,655,625
5. Step 5: Solve for x
   x = 29,266,655,625/111,458
6. Step 6: Final answer
   x = 262,580.13