Finding the Third Proportional to 80,786 and 171,428

Step by Step Solution

1. Step 1: Write the proportion equation
   80,786 : 171,428 = 171,428 : x
2. Step 2: Convert to fraction form
   80,786/171,428 = 171,428/x
3. Step 3: Cross multiply
   80,786x = 171,428 × 171,428
4. Step 4: Simplify right side
   80,786x = 29,387,559,184
5. Step 5: Solve for x
   x = 29,387,559,184/80,786
6. Step 6: Final answer
   x = 363,770.45