Finding the Third Proportional to 78,822 and 167,868

Step by Step Solution

1. Step 1: Write the proportion equation
   78,822 : 167,868 = 167,868 : x
2. Step 2: Convert to fraction form
   78,822/167,868 = 167,868/x
3. Step 3: Cross multiply
   78,822x = 167,868 × 167,868
4. Step 4: Simplify right side
   78,822x = 28,179,665,424
5. Step 5: Solve for x
   x = 28,179,665,424/78,822
6. Step 6: Final answer
   x = 357,510.15