Finding the Third Proportional to 82,047 and 179,280

Step by Step Solution

1. Step 1: Write the proportion equation
   82,047 : 179,280 = 179,280 : x
2. Step 2: Convert to fraction form
   82,047/179,280 = 179,280/x
3. Step 3: Cross multiply
   82,047x = 179,280 × 179,280
4. Step 4: Simplify right side
   82,047x = 32,141,318,400
5. Step 5: Solve for x
   x = 32,141,318,400/82,047
6. Step 6: Final answer
   x = 391,742.76