Finding the Third Proportional to 82,054 and 175,772

Step by Step Solution

1. Step 1: Write the proportion equation
   82,054 : 175,772 = 175,772 : x
2. Step 2: Convert to fraction form
   82,054/175,772 = 175,772/x
3. Step 3: Cross multiply
   82,054x = 175,772 × 175,772
4. Step 4: Simplify right side
   82,054x = 30,895,795,984
5. Step 5: Solve for x
   x = 30,895,795,984/82,054
6. Step 6: Final answer
   x = 376,530.04