Finding the Third Proportional to 89,308 and 184,780

Step by Step Solution

1. Step 1: Write the proportion equation
   89,308 : 184,780 = 184,780 : x
2. Step 2: Convert to fraction form
   89,308/184,780 = 184,780/x
3. Step 3: Cross multiply
   89,308x = 184,780 × 184,780
4. Step 4: Simplify right side
   89,308x = 34,143,648,400
5. Step 5: Solve for x
   x = 34,143,648,400/89,308
6. Step 6: Final answer
   x = 382,313.44