Finding the Third Proportional to 82,404 and 177,948

Step by Step Solution

1. Step 1: Write the proportion equation
   82,404 : 177,948 = 177,948 : x
2. Step 2: Convert to fraction form
   82,404/177,948 = 177,948/x
3. Step 3: Cross multiply
   82,404x = 177,948 × 177,948
4. Step 4: Simplify right side
   82,404x = 31,665,490,704
5. Step 5: Solve for x
   x = 31,665,490,704/82,404
6. Step 6: Final answer
   x = 384,271.28