Finding the Third Proportional to 85,912 and 184,522

Step by Step Solution

1. Step 1: Write the proportion equation
   85,912 : 184,522 = 184,522 : x
2. Step 2: Convert to fraction form
   85,912/184,522 = 184,522/x
3. Step 3: Cross multiply
   85,912x = 184,522 × 184,522
4. Step 4: Simplify right side
   85,912x = 34,048,368,484
5. Step 5: Solve for x
   x = 34,048,368,484/85,912
6. Step 6: Final answer
   x = 396,316.79