Finding the Third Proportional to 122,782 and 184,630.75

Step by Step Solution

1. Step 1: Write the proportion equation
   122,782 : 184,630.75 = 184,630.75 : x
2. Step 2: Convert to fraction form
   122,782/184,630.75 = 184,630.75/x
3. Step 3: Cross multiply
   122,782x = 184,630.75 × 184,630.75
4. Step 4: Simplify right side
   122,782x = 34,088,513,845.56
5. Step 5: Solve for x
   x = 34,088,513,845.56/122,782
6. Step 6: Final answer
   x = 277,634.46