Finding the Third Proportional to 78,082 and 184,141

Step by Step Solution

1. Step 1: Write the proportion equation
   78,082 : 184,141 = 184,141 : x
2. Step 2: Convert to fraction form
   78,082/184,141 = 184,141/x
3. Step 3: Cross multiply
   78,082x = 184,141 × 184,141
4. Step 4: Simplify right side
   78,082x = 33,907,907,881
5. Step 5: Solve for x
   x = 33,907,907,881/78,082
6. Step 6: Final answer
   x = 434,260.24