Finding the Third Proportional to 175,920 and 384,099

Step by Step Solution

1. Step 1: Write the proportion equation
   175,920 : 384,099 = 384,099 : x
2. Step 2: Convert to fraction form
   175,920/384,099 = 384,099/x
3. Step 3: Cross multiply
   175,920x = 384,099 × 384,099
4. Step 4: Simplify right side
   175,920x = 147,532,041,801
5. Step 5: Solve for x
   x = 147,532,041,801/175,920
6. Step 6: Final answer
   x = 838,631.43