Finding the Third Proportional to 177,494 and 389,008

Step by Step Solution

1. Step 1: Write the proportion equation
   177,494 : 389,008 = 389,008 : x
2. Step 2: Convert to fraction form
   177,494/389,008 = 389,008/x
3. Step 3: Cross multiply
   177,494x = 389,008 × 389,008
4. Step 4: Simplify right side
   177,494x = 151,327,224,064
5. Step 5: Solve for x
   x = 151,327,224,064/177,494
6. Step 6: Final answer
   x = 852,576.56