Finding the Third Proportional to 34,108 and 80,402

Step by Step Solution

1. Step 1: Write the proportion equation
   34,108 : 80,402 = 80,402 : x
2. Step 2: Convert to fraction form
   34,108/80,402 = 80,402/x
3. Step 3: Cross multiply
   34,108x = 80,402 × 80,402
4. Step 4: Simplify right side
   34,108x = 6,464,481,604
5. Step 5: Solve for x
   x = 6,464,481,604/34,108
6. Step 6: Final answer
   x = 189,529.78