Finding the Third Proportional to 113,494 and 164,912

Step by Step Solution

1. Step 1: Write the proportion equation
   113,494 : 164,912 = 164,912 : x
2. Step 2: Convert to fraction form
   113,494/164,912 = 164,912/x
3. Step 3: Cross multiply
   113,494x = 164,912 × 164,912
4. Step 4: Simplify right side
   113,494x = 27,195,967,744
5. Step 5: Solve for x
   x = 27,195,967,744/113,494
6. Step 6: Final answer
   x = 239,624.72