Finding the Third Proportional to 122,553 and 184,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,553 : 184,558.50 = 184,558.50 : x
2. Step 2: Convert to fraction form
   122,553/184,558.50 = 184,558.50/x
3. Step 3: Cross multiply
   122,553x = 184,558.50 × 184,558.50
4. Step 4: Simplify right side
   122,553x = 34,061,839,922.25
5. Step 5: Solve for x
   x = 34,061,839,922.25/122,553
6. Step 6: Final answer
   x = 277,935.59