Finding the Third Proportional to 86,293 and 184,584

Step by Step Solution

1. Step 1: Write the proportion equation
   86,293 : 184,584 = 184,584 : x
2. Step 2: Convert to fraction form
   86,293/184,584 = 184,584/x
3. Step 3: Cross multiply
   86,293x = 184,584 × 184,584
4. Step 4: Simplify right side
   86,293x = 34,071,253,056
5. Step 5: Solve for x
   x = 34,071,253,056/86,293
6. Step 6: Final answer
   x = 394,832.18