Finding the Third Proportional to 83,937 and 184,413

Step by Step Solution

1. Step 1: Write the proportion equation
   83,937 : 184,413 = 184,413 : x
2. Step 2: Convert to fraction form
   83,937/184,413 = 184,413/x
3. Step 3: Cross multiply
   83,937x = 184,413 × 184,413
4. Step 4: Simplify right side
   83,937x = 34,008,154,569
5. Step 5: Solve for x
   x = 34,008,154,569/83,937
6. Step 6: Final answer
   x = 405,162.86