Finding the Third Proportional to 262,993 and 427,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,993 : 427,273.50 = 427,273.50 : x
2. Step 2: Convert to fraction form
   262,993/427,273.50 = 427,273.50/x
3. Step 3: Cross multiply
   262,993x = 427,273.50 × 427,273.50
4. Step 4: Simplify right side
   262,993x = 182,562,643,802.25
5. Step 5: Solve for x
   x = 182,562,643,802.25/262,993
6. Step 6: Final answer
   x = 694,173.02