Finding the Third Proportional to 83,962 and 184,519

Step by Step Solution

1. Step 1: Write the proportion equation
   83,962 : 184,519 = 184,519 : x
2. Step 2: Convert to fraction form
   83,962/184,519 = 184,519/x
3. Step 3: Cross multiply
   83,962x = 184,519 × 184,519
4. Step 4: Simplify right side
   83,962x = 34,047,261,361
5. Step 5: Solve for x
   x = 34,047,261,361/83,962
6. Step 6: Final answer
   x = 405,507.98