Finding the Third Proportional to 85,615 and 184,406

Step by Step Solution

1. Step 1: Write the proportion equation
   85,615 : 184,406 = 184,406 : x
2. Step 2: Convert to fraction form
   85,615/184,406 = 184,406/x
3. Step 3: Cross multiply
   85,615x = 184,406 × 184,406
4. Step 4: Simplify right side
   85,615x = 34,005,572,836
5. Step 5: Solve for x
   x = 34,005,572,836/85,615
6. Step 6: Final answer
   x = 397,191.76