Finding the Third Proportional to 115,945 and 184,436

Step by Step Solution

1. Step 1: Write the proportion equation
   115,945 : 184,436 = 184,436 : x
2. Step 2: Convert to fraction form
   115,945/184,436 = 184,436/x
3. Step 3: Cross multiply
   115,945x = 184,436 × 184,436
4. Step 4: Simplify right side
   115,945x = 34,016,638,096
5. Step 5: Solve for x
   x = 34,016,638,096/115,945
6. Step 6: Final answer
   x = 293,385.99