Finding the Third Proportional to 85,896 and 184,507

Step by Step Solution

1. Step 1: Write the proportion equation
   85,896 : 184,507 = 184,507 : x
2. Step 2: Convert to fraction form
   85,896/184,507 = 184,507/x
3. Step 3: Cross multiply
   85,896x = 184,507 × 184,507
4. Step 4: Simplify right side
   85,896x = 34,042,833,049
5. Step 5: Solve for x
   x = 34,042,833,049/85,896
6. Step 6: Final answer
   x = 396,326.17