Finding the Third Proportional to 262,363.50 and 405,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,363.50 : 405,139.50 = 405,139.50 : x
2. Step 2: Convert to fraction form
   262,363.50/405,139.50 = 405,139.50/x
3. Step 3: Cross multiply
   262,363.50x = 405,139.50 × 405,139.50
4. Step 4: Simplify right side
   262,363.50x = 164,138,014,460.25
5. Step 5: Solve for x
   x = 164,138,014,460.25/262,363.50
6. Step 6: Final answer
   x = 625,612.99