Finding the Third Proportional to 165,249 and 262,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,249 : 262,633.50 = 262,633.50 : x
2. Step 2: Convert to fraction form
   165,249/262,633.50 = 262,633.50/x
3. Step 3: Cross multiply
   165,249x = 262,633.50 × 262,633.50
4. Step 4: Simplify right side
   165,249x = 68,976,355,322.25
5. Step 5: Solve for x
   x = 68,976,355,322.25/165,249
6. Step 6: Final answer
   x = 417,408.61