Finding the Third Proportional to 122,656.50 and 184,592.25

Step by Step Solution

1. Step 1: Write the proportion equation
   122,656.50 : 184,592.25 = 184,592.25 : x
2. Step 2: Convert to fraction form
   122,656.50/184,592.25 = 184,592.25/x
3. Step 3: Cross multiply
   122,656.50x = 184,592.25 × 184,592.25
4. Step 4: Simplify right side
   122,656.50x = 34,074,298,760.06
5. Step 5: Solve for x
   x = 34,074,298,760.06/122,656.50
6. Step 6: Final answer
   x = 277,802.63