Finding the Third Proportional to 82,615 and 177,223

Step by Step Solution

1. Step 1: Write the proportion equation
   82,615 : 177,223 = 177,223 : x
2. Step 2: Convert to fraction form
   82,615/177,223 = 177,223/x
3. Step 3: Cross multiply
   82,615x = 177,223 × 177,223
4. Step 4: Simplify right side
   82,615x = 31,407,991,729
5. Step 5: Solve for x
   x = 31,407,991,729/82,615
6. Step 6: Final answer
   x = 380,172.99