Finding the Third Proportional to 78,822 and 170,760

Step by Step Solution

1. Step 1: Write the proportion equation
   78,822 : 170,760 = 170,760 : x
2. Step 2: Convert to fraction form
   78,822/170,760 = 170,760/x
3. Step 3: Cross multiply
   78,822x = 170,760 × 170,760
4. Step 4: Simplify right side
   78,822x = 29,158,977,600
5. Step 5: Solve for x
   x = 29,158,977,600/78,822
6. Step 6: Final answer
   x = 369,934.51