Finding the Third Proportional to 165,195 and 262,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,195 : 262,561.50 = 262,561.50 : x
2. Step 2: Convert to fraction form
   165,195/262,561.50 = 262,561.50/x
3. Step 3: Cross multiply
   165,195x = 262,561.50 × 262,561.50
4. Step 4: Simplify right side
   165,195x = 68,938,541,282.25
5. Step 5: Solve for x
   x = 68,938,541,282.25/165,195
6. Step 6: Final answer
   x = 417,316.15