Finding the Third Proportional to 165,714 and 259,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,714 : 259,234.50 = 259,234.50 : x
2. Step 2: Convert to fraction form
   165,714/259,234.50 = 259,234.50/x
3. Step 3: Cross multiply
   165,714x = 259,234.50 × 259,234.50
4. Step 4: Simplify right side
   165,714x = 67,202,525,990.25
5. Step 5: Solve for x
   x = 67,202,525,990.25/165,714
6. Step 6: Final answer
   x = 405,533.18