Finding the Third Proportional to 78,822 and 171,040

Step by Step Solution

1. Step 1: Write the proportion equation
   78,822 : 171,040 = 171,040 : x
2. Step 2: Convert to fraction form
   78,822/171,040 = 171,040/x
3. Step 3: Cross multiply
   78,822x = 171,040 × 171,040
4. Step 4: Simplify right side
   78,822x = 29,254,681,600
5. Step 5: Solve for x
   x = 29,254,681,600/78,822
6. Step 6: Final answer
   x = 371,148.68