Finding the Third Proportional to 80,554 and 174,948

Step by Step Solution

1. Step 1: Write the proportion equation
   80,554 : 174,948 = 174,948 : x
2. Step 2: Convert to fraction form
   80,554/174,948 = 174,948/x
3. Step 3: Cross multiply
   80,554x = 174,948 × 174,948
4. Step 4: Simplify right side
   80,554x = 30,606,802,704
5. Step 5: Solve for x
   x = 30,606,802,704/80,554
6. Step 6: Final answer
   x = 379,953.85