Finding the Third Proportional to 177,474 and 384,892

Step by Step Solution

1. Step 1: Write the proportion equation
   177,474 : 384,892 = 384,892 : x
2. Step 2: Convert to fraction form
   177,474/384,892 = 384,892/x
3. Step 3: Cross multiply
   177,474x = 384,892 × 384,892
4. Step 4: Simplify right side
   177,474x = 148,141,851,664
5. Step 5: Solve for x
   x = 148,141,851,664/177,474
6. Step 6: Final answer
   x = 834,724.25