Finding the Third Proportional to 83,941 and 184,421

Step by Step Solution

1. Step 1: Write the proportion equation
   83,941 : 184,421 = 184,421 : x
2. Step 2: Convert to fraction form
   83,941/184,421 = 184,421/x
3. Step 3: Cross multiply
   83,941x = 184,421 × 184,421
4. Step 4: Simplify right side
   83,941x = 34,011,105,241
5. Step 5: Solve for x
   x = 34,011,105,241/83,941
6. Step 6: Final answer
   x = 405,178.70