Finding the Third Proportional to 165,234 and 262,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,234 : 262,651.50 = 262,651.50 : x
2. Step 2: Convert to fraction form
   165,234/262,651.50 = 262,651.50/x
3. Step 3: Cross multiply
   165,234x = 262,651.50 × 262,651.50
4. Step 4: Simplify right side
   165,234x = 68,985,810,452.25
5. Step 5: Solve for x
   x = 68,985,810,452.25/165,234
6. Step 6: Final answer
   x = 417,503.72