Finding the Third Proportional to 86,178 and 184,986

Step by Step Solution

1. Step 1: Write the proportion equation
   86,178 : 184,986 = 184,986 : x
2. Step 2: Convert to fraction form
   86,178/184,986 = 184,986/x
3. Step 3: Cross multiply
   86,178x = 184,986 × 184,986
4. Step 4: Simplify right side
   86,178x = 34,219,820,196
5. Step 5: Solve for x
   x = 34,219,820,196/86,178
6. Step 6: Final answer
   x = 397,083.02