Finding the Third Proportional to 85,023 and 175,554

Step by Step Solution

1. Step 1: Write the proportion equation
   85,023 : 175,554 = 175,554 : x
2. Step 2: Convert to fraction form
   85,023/175,554 = 175,554/x
3. Step 3: Cross multiply
   85,023x = 175,554 × 175,554
4. Step 4: Simplify right side
   85,023x = 30,819,206,916
5. Step 5: Solve for x
   x = 30,819,206,916/85,023
6. Step 6: Final answer
   x = 362,480.82