Finding the Third Proportional to 102,852 and 150,714

Step by Step Solution

1. Step 1: Write the proportion equation
   102,852 : 150,714 = 150,714 : x
2. Step 2: Convert to fraction form
   102,852/150,714 = 150,714/x
3. Step 3: Cross multiply
   102,852x = 150,714 × 150,714
4. Step 4: Simplify right side
   102,852x = 22,714,709,796
5. Step 5: Solve for x
   x = 22,714,709,796/102,852
6. Step 6: Final answer
   x = 220,848.50