Finding the Third Proportional to 115,456 and 184,435

Step by Step Solution

1. Step 1: Write the proportion equation
   115,456 : 184,435 = 184,435 : x
2. Step 2: Convert to fraction form
   115,456/184,435 = 184,435/x
3. Step 3: Cross multiply
   115,456x = 184,435 × 184,435
4. Step 4: Simplify right side
   115,456x = 34,016,269,225
5. Step 5: Solve for x
   x = 34,016,269,225/115,456
6. Step 6: Final answer
   x = 294,625.39