Finding the Third Proportional to 82,092 and 177,004

Step by Step Solution

1. Step 1: Write the proportion equation
   82,092 : 177,004 = 177,004 : x
2. Step 2: Convert to fraction form
   82,092/177,004 = 177,004/x
3. Step 3: Cross multiply
   82,092x = 177,004 × 177,004
4. Step 4: Simplify right side
   82,092x = 31,330,416,016
5. Step 5: Solve for x
   x = 31,330,416,016/82,092
6. Step 6: Final answer
   x = 381,650.05