Finding the Third Proportional to 152,553 and 225,714

Step by Step Solution

1. Step 1: Write the proportion equation
   152,553 : 225,714 = 225,714 : x
2. Step 2: Convert to fraction form
   152,553/225,714 = 225,714/x
3. Step 3: Cross multiply
   152,553x = 225,714 × 225,714
4. Step 4: Simplify right side
   152,553x = 50,946,809,796
5. Step 5: Solve for x
   x = 50,946,809,796/152,553
6. Step 6: Final answer
   x = 333,961.38