Finding the Third Proportional to 113,645 and 166,336

Step by Step Solution

1. Step 1: Write the proportion equation
   113,645 : 166,336 = 166,336 : x
2. Step 2: Convert to fraction form
   113,645/166,336 = 166,336/x
3. Step 3: Cross multiply
   113,645x = 166,336 × 166,336
4. Step 4: Simplify right side
   113,645x = 27,667,664,896
5. Step 5: Solve for x
   x = 27,667,664,896/113,645
6. Step 6: Final answer
   x = 243,456.95