Finding the Third Proportional to 83,672 and 184,023

Step by Step Solution

1. Step 1: Write the proportion equation
   83,672 : 184,023 = 184,023 : x
2. Step 2: Convert to fraction form
   83,672/184,023 = 184,023/x
3. Step 3: Cross multiply
   83,672x = 184,023 × 184,023
4. Step 4: Simplify right side
   83,672x = 33,864,464,529
5. Step 5: Solve for x
   x = 33,864,464,529/83,672
6. Step 6: Final answer
   x = 404,728.76