Finding the Third Proportional to 113,732 and 174,075

Step by Step Solution

1. Step 1: Write the proportion equation
   113,732 : 174,075 = 174,075 : x
2. Step 2: Convert to fraction form
   113,732/174,075 = 174,075/x
3. Step 3: Cross multiply
   113,732x = 174,075 × 174,075
4. Step 4: Simplify right side
   113,732x = 30,302,105,625
5. Step 5: Solve for x
   x = 30,302,105,625/113,732
6. Step 6: Final answer
   x = 266,434.30