Finding the Third Proportional to 208,983 and 298,732

Step by Step Solution

1. Step 1: Write the proportion equation
   208,983 : 298,732 = 298,732 : x
2. Step 2: Convert to fraction form
   208,983/298,732 = 298,732/x
3. Step 3: Cross multiply
   208,983x = 298,732 × 298,732
4. Step 4: Simplify right side
   208,983x = 89,240,807,824
5. Step 5: Solve for x
   x = 89,240,807,824/208,983
6. Step 6: Final answer
   x = 427,024.25