Finding the Third Proportional to 165,552 and 262,318.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,552 : 262,318.50 = 262,318.50 : x
2. Step 2: Convert to fraction form
   165,552/262,318.50 = 262,318.50/x
3. Step 3: Cross multiply
   165,552x = 262,318.50 × 262,318.50
4. Step 4: Simplify right side
   165,552x = 68,810,995,442.25
5. Step 5: Solve for x
   x = 68,810,995,442.25/165,552
6. Step 6: Final answer
   x = 415,645.81