Finding the Third Proportional to 84,900 and 184,541.25

Step by Step Solution

1. Step 1: Write the proportion equation
   84,900 : 184,541.25 = 184,541.25 : x
2. Step 2: Convert to fraction form
   84,900/184,541.25 = 184,541.25/x
3. Step 3: Cross multiply
   84,900x = 184,541.25 × 184,541.25
4. Step 4: Simplify right side
   84,900x = 34,055,472,951.56
5. Step 5: Solve for x
   x = 34,055,472,951.56/84,900
6. Step 6: Final answer
   x = 401,124.53