Finding the Third Proportional to 262,746 and 406,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,746 : 406,426.50 = 406,426.50 : x
2. Step 2: Convert to fraction form
   262,746/406,426.50 = 406,426.50/x
3. Step 3: Cross multiply
   262,746x = 406,426.50 × 406,426.50
4. Step 4: Simplify right side
   262,746x = 165,182,499,902.25
5. Step 5: Solve for x
   x = 165,182,499,902.25/262,746
6. Step 6: Final answer
   x = 628,677.51