Finding the Third Proportional to 186,456 and 415,008

Step by Step Solution

1. Step 1: Write the proportion equation
   186,456 : 415,008 = 415,008 : x
2. Step 2: Convert to fraction form
   186,456/415,008 = 415,008/x
3. Step 3: Cross multiply
   186,456x = 415,008 × 415,008
4. Step 4: Simplify right side
   186,456x = 172,231,640,064
5. Step 5: Solve for x
   x = 172,231,640,064/186,456
6. Step 6: Final answer
   x = 923,711.98