Finding the Third Proportional to 180,776 and 394,870

Step by Step Solution

1. Step 1: Write the proportion equation
   180,776 : 394,870 = 394,870 : x
2. Step 2: Convert to fraction form
   180,776/394,870 = 394,870/x
3. Step 3: Cross multiply
   180,776x = 394,870 × 394,870
4. Step 4: Simplify right side
   180,776x = 155,922,316,900
5. Step 5: Solve for x
   x = 155,922,316,900/180,776
6. Step 6: Final answer
   x = 862,516.69