Finding the Third Proportional to 89,280 and 184,368

Step by Step Solution

1. Step 1: Write the proportion equation
   89,280 : 184,368 = 184,368 : x
2. Step 2: Convert to fraction form
   89,280/184,368 = 184,368/x
3. Step 3: Cross multiply
   89,280x = 184,368 × 184,368
4. Step 4: Simplify right side
   89,280x = 33,991,559,424
5. Step 5: Solve for x
   x = 33,991,559,424/89,280
6. Step 6: Final answer
   x = 380,729.83