Finding the Third Proportional to 122,763 and 184,600.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,763 : 184,600.50 = 184,600.50 : x
2. Step 2: Convert to fraction form
   122,763/184,600.50 = 184,600.50/x
3. Step 3: Cross multiply
   122,763x = 184,600.50 × 184,600.50
4. Step 4: Simplify right side
   122,763x = 34,077,344,600.25
5. Step 5: Solve for x
   x = 34,077,344,600.25/122,763
6. Step 6: Final answer
   x = 277,586.44