Finding the Third Proportional to 84,413 and 184,510

Step by Step Solution

1. Step 1: Write the proportion equation
   84,413 : 184,510 = 184,510 : x
2. Step 2: Convert to fraction form
   84,413/184,510 = 184,510/x
3. Step 3: Cross multiply
   84,413x = 184,510 × 184,510
4. Step 4: Simplify right side
   84,413x = 34,043,940,100
5. Step 5: Solve for x
   x = 34,043,940,100/84,413
6. Step 6: Final answer
   x = 403,302.10