Finding the Third Proportional to 85,716 and 184,586

Step by Step Solution

1. Step 1: Write the proportion equation
   85,716 : 184,586 = 184,586 : x
2. Step 2: Convert to fraction form
   85,716/184,586 = 184,586/x
3. Step 3: Cross multiply
   85,716x = 184,586 × 184,586
4. Step 4: Simplify right side
   85,716x = 34,071,991,396
5. Step 5: Solve for x
   x = 34,071,991,396/85,716
6. Step 6: Final answer
   x = 397,498.62