Finding the Third Proportional to 405,766 and 633,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   405,766 : 633,213.50 = 633,213.50 : x
2. Step 2: Convert to fraction form
   405,766/633,213.50 = 633,213.50/x
3. Step 3: Cross multiply
   405,766x = 633,213.50 × 633,213.50
4. Step 4: Simplify right side
   405,766x = 400,959,336,582.25
5. Step 5: Solve for x
   x = 400,959,336,582.25/405,766
6. Step 6: Final answer
   x = 988,154.10