Finding the Third Proportional to 113,364 and 166,590

Step by Step Solution

1. Step 1: Write the proportion equation
   113,364 : 166,590 = 166,590 : x
2. Step 2: Convert to fraction form
   113,364/166,590 = 166,590/x
3. Step 3: Cross multiply
   113,364x = 166,590 × 166,590
4. Step 4: Simplify right side
   113,364x = 27,752,228,100
5. Step 5: Solve for x
   x = 27,752,228,100/113,364
6. Step 6: Final answer
   x = 244,806.36