Finding the Third Proportional to 85,518 and 184,194

Step by Step Solution

1. Step 1: Write the proportion equation
   85,518 : 184,194 = 184,194 : x
2. Step 2: Convert to fraction form
   85,518/184,194 = 184,194/x
3. Step 3: Cross multiply
   85,518x = 184,194 × 184,194
4. Step 4: Simplify right side
   85,518x = 33,927,429,636
5. Step 5: Solve for x
   x = 33,927,429,636/85,518
6. Step 6: Final answer
   x = 396,728.52