Finding the Third Proportional to 122,784 and 184,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,784 : 184,633.50 = 184,633.50 : x
2. Step 2: Convert to fraction form
   122,784/184,633.50 = 184,633.50/x
3. Step 3: Cross multiply
   122,784x = 184,633.50 × 184,633.50
4. Step 4: Simplify right side
   122,784x = 34,089,529,322.25
5. Step 5: Solve for x
   x = 34,089,529,322.25/122,784
6. Step 6: Final answer
   x = 277,638.20