Finding the Third Proportional to 173,784 and 379,500

Step by Step Solution

1. Step 1: Write the proportion equation
   173,784 : 379,500 = 379,500 : x
2. Step 2: Convert to fraction form
   173,784/379,500 = 379,500/x
3. Step 3: Cross multiply
   173,784x = 379,500 × 379,500
4. Step 4: Simplify right side
   173,784x = 144,020,250,000
5. Step 5: Solve for x
   x = 144,020,250,000/173,784
6. Step 6: Final answer
   x = 828,731.36