Finding the Third Proportional to 165,894 and 250,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,894 : 250,216.50 = 250,216.50 : x
2. Step 2: Convert to fraction form
   165,894/250,216.50 = 250,216.50/x
3. Step 3: Cross multiply
   165,894x = 250,216.50 × 250,216.50
4. Step 4: Simplify right side
   165,894x = 62,608,296,872.25
5. Step 5: Solve for x
   x = 62,608,296,872.25/165,894
6. Step 6: Final answer
   x = 377,399.40