Finding the Third Proportional to 82,792 and 184,320

Step by Step Solution

1. Step 1: Write the proportion equation
   82,792 : 184,320 = 184,320 : x
2. Step 2: Convert to fraction form
   82,792/184,320 = 184,320/x
3. Step 3: Cross multiply
   82,792x = 184,320 × 184,320
4. Step 4: Simplify right side
   82,792x = 33,973,862,400
5. Step 5: Solve for x
   x = 33,973,862,400/82,792
6. Step 6: Final answer
   x = 410,352.00