Finding the Third Proportional to 122,783.25 and 184,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,783.25 : 184,630.50 = 184,630.50 : x
2. Step 2: Convert to fraction form
   122,783.25/184,630.50 = 184,630.50/x
3. Step 3: Cross multiply
   122,783.25x = 184,630.50 × 184,630.50
4. Step 4: Simplify right side
   122,783.25x = 34,088,421,530.25
5. Step 5: Solve for x
   x = 34,088,421,530.25/122,783.25
6. Step 6: Final answer
   x = 277,630.88