Finding the Third Proportional to 86,289 and 184,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,289 : 184,573.50 = 184,573.50 : x
2. Step 2: Convert to fraction form
   86,289/184,573.50 = 184,573.50/x
3. Step 3: Cross multiply
   86,289x = 184,573.50 × 184,573.50
4. Step 4: Simplify right side
   86,289x = 34,067,376,902.25
5. Step 5: Solve for x
   x = 34,067,376,902.25/86,289
6. Step 6: Final answer
   x = 394,805.56