Finding the Third Proportional to 77,828 and 172,040

Step by Step Solution

1. Step 1: Write the proportion equation
   77,828 : 172,040 = 172,040 : x
2. Step 2: Convert to fraction form
   77,828/172,040 = 172,040/x
3. Step 3: Cross multiply
   77,828x = 172,040 × 172,040
4. Step 4: Simplify right side
   77,828x = 29,597,761,600
5. Step 5: Solve for x
   x = 29,597,761,600/77,828
6. Step 6: Final answer
   x = 380,297.09