Finding the Third Proportional to 116,784 and 184,626

Step by Step Solution

1. Step 1: Write the proportion equation
   116,784 : 184,626 = 184,626 : x
2. Step 2: Convert to fraction form
   116,784/184,626 = 184,626/x
3. Step 3: Cross multiply
   116,784x = 184,626 × 184,626
4. Step 4: Simplify right side
   116,784x = 34,086,759,876
5. Step 5: Solve for x
   x = 34,086,759,876/116,784
6. Step 6: Final answer
   x = 291,878.68