Finding the Third Proportional to 85,866 and 184,429

Step by Step Solution

1. Step 1: Write the proportion equation
   85,866 : 184,429 = 184,429 : x
2. Step 2: Convert to fraction form
   85,866/184,429 = 184,429/x
3. Step 3: Cross multiply
   85,866x = 184,429 × 184,429
4. Step 4: Simplify right side
   85,866x = 34,014,056,041
5. Step 5: Solve for x
   x = 34,014,056,041/85,866
6. Step 6: Final answer
   x = 396,129.50