Finding the Third Proportional to 184,538 and 275,846

Step by Step Solution

1. Step 1: Write the proportion equation
   184,538 : 275,846 = 275,846 : x
2. Step 2: Convert to fraction form
   184,538/275,846 = 275,846/x
3. Step 3: Cross multiply
   184,538x = 275,846 × 275,846
4. Step 4: Simplify right side
   184,538x = 76,091,015,716
5. Step 5: Solve for x
   x = 76,091,015,716/184,538
6. Step 6: Final answer
   x = 412,332.50