Finding the Third Proportional to 116,760 and 184,914

Step by Step Solution

1. Step 1: Write the proportion equation
   116,760 : 184,914 = 184,914 : x
2. Step 2: Convert to fraction form
   116,760/184,914 = 184,914/x
3. Step 3: Cross multiply
   116,760x = 184,914 × 184,914
4. Step 4: Simplify right side
   116,760x = 34,193,187,396
5. Step 5: Solve for x
   x = 34,193,187,396/116,760
6. Step 6: Final answer
   x = 292,850.18