Finding the Third Proportional to 83,640 and 184,128

Step by Step Solution

1. Step 1: Write the proportion equation
   83,640 : 184,128 = 184,128 : x
2. Step 2: Convert to fraction form
   83,640/184,128 = 184,128/x
3. Step 3: Cross multiply
   83,640x = 184,128 × 184,128
4. Step 4: Simplify right side
   83,640x = 33,903,120,384
5. Step 5: Solve for x
   x = 33,903,120,384/83,640
6. Step 6: Final answer
   x = 405,345.77