Finding the Third Proportional to 113,494 and 171,821

Step by Step Solution

1. Step 1: Write the proportion equation
   113,494 : 171,821 = 171,821 : x
2. Step 2: Convert to fraction form
   113,494/171,821 = 171,821/x
3. Step 3: Cross multiply
   113,494x = 171,821 × 171,821
4. Step 4: Simplify right side
   113,494x = 29,522,456,041
5. Step 5: Solve for x
   x = 29,522,456,041/113,494
6. Step 6: Final answer
   x = 260,123.50