Finding the Third Proportional to 165,222 and 262,595.25

Step by Step Solution

1. Step 1: Write the proportion equation
   165,222 : 262,595.25 = 262,595.25 : x
2. Step 2: Convert to fraction form
   165,222/262,595.25 = 262,595.25/x
3. Step 3: Cross multiply
   165,222x = 262,595.25 × 262,595.25
4. Step 4: Simplify right side
   165,222x = 68,956,265,322.56
5. Step 5: Solve for x
   x = 68,956,265,322.56/165,222
6. Step 6: Final answer
   x = 417,355.23