Finding the Third Proportional to 122,506.50 and 184,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,506.50 : 184,474.50 = 184,474.50 : x
2. Step 2: Convert to fraction form
   122,506.50/184,474.50 = 184,474.50/x
3. Step 3: Cross multiply
   122,506.50x = 184,474.50 × 184,474.50
4. Step 4: Simplify right side
   122,506.50x = 34,030,841,150.25
5. Step 5: Solve for x
   x = 34,030,841,150.25/122,506.50
6. Step 6: Final answer
   x = 277,788.05