Finding the Third Proportional to 301,766 and 661,564

Step by Step Solution

1. Step 1: Write the proportion equation
   301,766 : 661,564 = 661,564 : x
2. Step 2: Convert to fraction form
   301,766/661,564 = 661,564/x
3. Step 3: Cross multiply
   301,766x = 661,564 × 661,564
4. Step 4: Simplify right side
   301,766x = 437,666,926,096
5. Step 5: Solve for x
   x = 437,666,926,096/301,766
6. Step 6: Final answer
   x = 1,450,352.01