Finding the Third Proportional to 175,065 and 384,025

Step by Step Solution

1. Step 1: Write the proportion equation
   175,065 : 384,025 = 384,025 : x
2. Step 2: Convert to fraction form
   175,065/384,025 = 384,025/x
3. Step 3: Cross multiply
   175,065x = 384,025 × 384,025
4. Step 4: Simplify right side
   175,065x = 147,475,200,625
5. Step 5: Solve for x
   x = 147,475,200,625/175,065
6. Step 6: Final answer
   x = 842,402.54