Finding the Third Proportional to 85,702 and 184,558

Step by Step Solution

1. Step 1: Write the proportion equation
   85,702 : 184,558 = 184,558 : x
2. Step 2: Convert to fraction form
   85,702/184,558 = 184,558/x
3. Step 3: Cross multiply
   85,702x = 184,558 × 184,558
4. Step 4: Simplify right side
   85,702x = 34,061,655,364
5. Step 5: Solve for x
   x = 34,061,655,364/85,702
6. Step 6: Final answer
   x = 397,442.95