Finding the Third Proportional to 123,085 and 184,417

Step by Step Solution

1. Step 1: Write the proportion equation
   123,085 : 184,417 = 184,417 : x
2. Step 2: Convert to fraction form
   123,085/184,417 = 184,417/x
3. Step 3: Cross multiply
   123,085x = 184,417 × 184,417
4. Step 4: Simplify right side
   123,085x = 34,009,629,889
5. Step 5: Solve for x
   x = 34,009,629,889/123,085
6. Step 6: Final answer
   x = 276,310.11