Finding the Third Proportional to 122,205 and 184,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,205 : 184,537.50 = 184,537.50 : x
2. Step 2: Convert to fraction form
   122,205/184,537.50 = 184,537.50/x
3. Step 3: Cross multiply
   122,205x = 184,537.50 × 184,537.50
4. Step 4: Simplify right side
   122,205x = 34,054,088,906.25
5. Step 5: Solve for x
   x = 34,054,088,906.25/122,205
6. Step 6: Final answer
   x = 278,663.63