Finding the Third Proportional to 85,158 and 184,805.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85,158 : 184,805.25 = 184,805.25 : x
2. Step 2: Convert to fraction form
   85,158/184,805.25 = 184,805.25/x
3. Step 3: Cross multiply
   85,158x = 184,805.25 × 184,805.25
4. Step 4: Simplify right side
   85,158x = 34,152,980,427.56
5. Step 5: Solve for x
   x = 34,152,980,427.56/85,158
6. Step 6: Final answer
   x = 401,054.28