Finding the Third Proportional to 152,642 and 224,546

Step by Step Solution

1. Step 1: Write the proportion equation
   152,642 : 224,546 = 224,546 : x
2. Step 2: Convert to fraction form
   152,642/224,546 = 224,546/x
3. Step 3: Cross multiply
   152,642x = 224,546 × 224,546
4. Step 4: Simplify right side
   152,642x = 50,420,906,116
5. Step 5: Solve for x
   x = 50,420,906,116/152,642
6. Step 6: Final answer
   x = 330,321.31