Finding the Third Proportional to 80,610 and 172,884

Step by Step Solution

1. Step 1: Write the proportion equation
   80,610 : 172,884 = 172,884 : x
2. Step 2: Convert to fraction form
   80,610/172,884 = 172,884/x
3. Step 3: Cross multiply
   80,610x = 172,884 × 172,884
4. Step 4: Simplify right side
   80,610x = 29,888,877,456
5. Step 5: Solve for x
   x = 29,888,877,456/80,610
6. Step 6: Final answer
   x = 370,783.74