Finding the Third Proportional to 85,887 and 184,492

Step by Step Solution

1. Step 1: Write the proportion equation
   85,887 : 184,492 = 184,492 : x
2. Step 2: Convert to fraction form
   85,887/184,492 = 184,492/x
3. Step 3: Cross multiply
   85,887x = 184,492 × 184,492
4. Step 4: Simplify right side
   85,887x = 34,037,298,064
5. Step 5: Solve for x
   x = 34,037,298,064/85,887
6. Step 6: Final answer
   x = 396,303.26