Finding the Third Proportional to 85,822 and 179,490

Step by Step Solution

1. Step 1: Write the proportion equation
   85,822 : 179,490 = 179,490 : x
2. Step 2: Convert to fraction form
   85,822/179,490 = 179,490/x
3. Step 3: Cross multiply
   85,822x = 179,490 × 179,490
4. Step 4: Simplify right side
   85,822x = 32,216,660,100
5. Step 5: Solve for x
   x = 32,216,660,100/85,822
6. Step 6: Final answer
   x = 375,389.30