Finding the Third Proportional to 85,838 and 184,924

Step by Step Solution

1. Step 1: Write the proportion equation
   85,838 : 184,924 = 184,924 : x
2. Step 2: Convert to fraction form
   85,838/184,924 = 184,924/x
3. Step 3: Cross multiply
   85,838x = 184,924 × 184,924
4. Step 4: Simplify right side
   85,838x = 34,196,885,776
5. Step 5: Solve for x
   x = 34,196,885,776/85,838
6. Step 6: Final answer
   x = 398,388.66