Finding the Third Proportional to 85,056 and 184,890

Step by Step Solution

1. Step 1: Write the proportion equation
   85,056 : 184,890 = 184,890 : x
2. Step 2: Convert to fraction form
   85,056/184,890 = 184,890/x
3. Step 3: Cross multiply
   85,056x = 184,890 × 184,890
4. Step 4: Simplify right side
   85,056x = 34,184,312,100
5. Step 5: Solve for x
   x = 34,184,312,100/85,056
6. Step 6: Final answer
   x = 401,903.59