Finding the Third Proportional to 116,768 and 184,928

Step by Step Solution

1. Step 1: Write the proportion equation
   116,768 : 184,928 = 184,928 : x
2. Step 2: Convert to fraction form
   116,768/184,928 = 184,928/x
3. Step 3: Cross multiply
   116,768x = 184,928 × 184,928
4. Step 4: Simplify right side
   116,768x = 34,198,365,184
5. Step 5: Solve for x
   x = 34,198,365,184/116,768
6. Step 6: Final answer
   x = 292,874.46