Finding the Third Proportional to 262,767 and 406,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,767 : 406,402.50 = 406,402.50 : x
2. Step 2: Convert to fraction form
   262,767/406,402.50 = 406,402.50/x
3. Step 3: Cross multiply
   262,767x = 406,402.50 × 406,402.50
4. Step 4: Simplify right side
   262,767x = 165,162,992,006.25
5. Step 5: Solve for x
   x = 165,162,992,006.25/262,767
6. Step 6: Final answer
   x = 628,553.02