Finding the Third Proportional to 175,820 and 377,856

Step by Step Solution

1. Step 1: Write the proportion equation
   175,820 : 377,856 = 377,856 : x
2. Step 2: Convert to fraction form
   175,820/377,856 = 377,856/x
3. Step 3: Cross multiply
   175,820x = 377,856 × 377,856
4. Step 4: Simplify right side
   175,820x = 142,775,156,736
5. Step 5: Solve for x
   x = 142,775,156,736/175,820
6. Step 6: Final answer
   x = 812,052.99