Finding the Third Proportional to 84,078 and 184,538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   84,078 : 184,538.25 = 184,538.25 : x
2. Step 2: Convert to fraction form
   84,078/184,538.25 = 184,538.25/x
3. Step 3: Cross multiply
   84,078x = 184,538.25 × 184,538.25
4. Step 4: Simplify right side
   84,078x = 34,054,365,713.06
5. Step 5: Solve for x
   x = 34,054,365,713.06/84,078
6. Step 6: Final answer
   x = 405,033.01