Finding the Third Proportional to 116,766 and 184,923

Step by Step Solution

1. Step 1: Write the proportion equation
   116,766 : 184,923 = 184,923 : x
2. Step 2: Convert to fraction form
   116,766/184,923 = 184,923/x
3. Step 3: Cross multiply
   116,766x = 184,923 × 184,923
4. Step 4: Simplify right side
   116,766x = 34,196,515,929
5. Step 5: Solve for x
   x = 34,196,515,929/116,766
6. Step 6: Final answer
   x = 292,863.64