Finding the Third Proportional to 85,047 and 184,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,047 : 184,855.50 = 184,855.50 : x
2. Step 2: Convert to fraction form
   85,047/184,855.50 = 184,855.50/x
3. Step 3: Cross multiply
   85,047x = 184,855.50 × 184,855.50
4. Step 4: Simplify right side
   85,047x = 34,171,555,880.25
5. Step 5: Solve for x
   x = 34,171,555,880.25/85,047
6. Step 6: Final answer
   x = 401,796.13