Finding the Third Proportional to 122,783 and 184,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,783 : 184,632.50 = 184,632.50 : x
2. Step 2: Convert to fraction form
   122,783/184,632.50 = 184,632.50/x
3. Step 3: Cross multiply
   122,783x = 184,632.50 × 184,632.50
4. Step 4: Simplify right side
   122,783x = 34,089,160,056.25
5. Step 5: Solve for x
   x = 34,089,160,056.25/122,783
6. Step 6: Final answer
   x = 277,637.46