Finding the Third Proportional to 81,429 and 171,606

Step by Step Solution

1. Step 1: Write the proportion equation
   81,429 : 171,606 = 171,606 : x
2. Step 2: Convert to fraction form
   81,429/171,606 = 171,606/x
3. Step 3: Cross multiply
   81,429x = 171,606 × 171,606
4. Step 4: Simplify right side
   81,429x = 29,448,619,236
5. Step 5: Solve for x
   x = 29,448,619,236/81,429
6. Step 6: Final answer
   x = 361,647.81