Finding the Third Proportional to 85,714 and 184,584

Step by Step Solution

1. Step 1: Write the proportion equation
   85,714 : 184,584 = 184,584 : x
2. Step 2: Convert to fraction form
   85,714/184,584 = 184,584/x
3. Step 3: Cross multiply
   85,714x = 184,584 × 184,584
4. Step 4: Simplify right side
   85,714x = 34,071,253,056
5. Step 5: Solve for x
   x = 34,071,253,056/85,714
6. Step 6: Final answer
   x = 397,499.28