Finding the Third Proportional to 83,942 and 184,423

Step by Step Solution

1. Step 1: Write the proportion equation
   83,942 : 184,423 = 184,423 : x
2. Step 2: Convert to fraction form
   83,942/184,423 = 184,423/x
3. Step 3: Cross multiply
   83,942x = 184,423 × 184,423
4. Step 4: Simplify right side
   83,942x = 34,011,842,929
5. Step 5: Solve for x
   x = 34,011,842,929/83,942
6. Step 6: Final answer
   x = 405,182.66