Finding the Third Proportional to 175,696 and 384,820

Step by Step Solution

1. Step 1: Write the proportion equation
   175,696 : 384,820 = 384,820 : x
2. Step 2: Convert to fraction form
   175,696/384,820 = 384,820/x
3. Step 3: Cross multiply
   175,696x = 384,820 × 384,820
4. Step 4: Simplify right side
   175,696x = 148,086,432,400
5. Step 5: Solve for x
   x = 148,086,432,400/175,696
6. Step 6: Final answer
   x = 842,856.03