Finding the Third Proportional to 165,704 and 259,219.25

Step by Step Solution

1. Step 1: Write the proportion equation
   165,704 : 259,219.25 = 259,219.25 : x
2. Step 2: Convert to fraction form
   165,704/259,219.25 = 259,219.25/x
3. Step 3: Cross multiply
   165,704x = 259,219.25 × 259,219.25
4. Step 4: Simplify right side
   165,704x = 67,194,619,570.56
5. Step 5: Solve for x
   x = 67,194,619,570.56/165,704
6. Step 6: Final answer
   x = 405,509.94