Finding the Third Proportional to 122,503.50 and 184,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,503.50 : 184,467.50 = 184,467.50 : x
2. Step 2: Convert to fraction form
   122,503.50/184,467.50 = 184,467.50/x
3. Step 3: Cross multiply
   122,503.50x = 184,467.50 × 184,467.50
4. Step 4: Simplify right side
   122,503.50x = 34,028,258,556.25
5. Step 5: Solve for x
   x = 34,028,258,556.25/122,503.50
6. Step 6: Final answer
   x = 277,773.77