Finding the Third Proportional to 80,484 and 171,364

Step by Step Solution

1. Step 1: Write the proportion equation
   80,484 : 171,364 = 171,364 : x
2. Step 2: Convert to fraction form
   80,484/171,364 = 171,364/x
3. Step 3: Cross multiply
   80,484x = 171,364 × 171,364
4. Step 4: Simplify right side
   80,484x = 29,365,620,496
5. Step 5: Solve for x
   x = 29,365,620,496/80,484
6. Step 6: Final answer
   x = 364,862.84