Finding the Third Proportional to 260,851 and 349,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   260,851 : 349,399.50 = 349,399.50 : x
2. Step 2: Convert to fraction form
   260,851/349,399.50 = 349,399.50/x
3. Step 3: Cross multiply
   260,851x = 349,399.50 × 349,399.50
4. Step 4: Simplify right side
   260,851x = 122,080,010,600.25
5. Step 5: Solve for x
   x = 122,080,010,600.25/260,851
6. Step 6: Final answer
   x = 468,006.68