Finding the Third Proportional to 81,772 and 179,095

Step by Step Solution

1. Step 1: Write the proportion equation
   81,772 : 179,095 = 179,095 : x
2. Step 2: Convert to fraction form
   81,772/179,095 = 179,095/x
3. Step 3: Cross multiply
   81,772x = 179,095 × 179,095
4. Step 4: Simplify right side
   81,772x = 32,075,019,025
5. Step 5: Solve for x
   x = 32,075,019,025/81,772
6. Step 6: Final answer
   x = 392,249.41