Finding the Third Proportional to 178,488 and 287,028

Step by Step Solution

1. Step 1: Write the proportion equation
   178,488 : 287,028 = 287,028 : x
2. Step 2: Convert to fraction form
   178,488/287,028 = 287,028/x
3. Step 3: Cross multiply
   178,488x = 287,028 × 287,028
4. Step 4: Simplify right side
   178,488x = 82,385,072,784
5. Step 5: Solve for x
   x = 82,385,072,784/178,488
6. Step 6: Final answer
   x = 461,572.05