Finding the Third Proportional to 113,834 and 164,458

Step by Step Solution

1. Step 1: Write the proportion equation
   113,834 : 164,458 = 164,458 : x
2. Step 2: Convert to fraction form
   113,834/164,458 = 164,458/x
3. Step 3: Cross multiply
   113,834x = 164,458 × 164,458
4. Step 4: Simplify right side
   113,834x = 27,046,433,764
5. Step 5: Solve for x
   x = 27,046,433,764/113,834
6. Step 6: Final answer
   x = 237,595.39