Finding the Third Proportional to 151,926 and 333,006

Step by Step Solution

1. Step 1: Write the proportion equation
   151,926 : 333,006 = 333,006 : x
2. Step 2: Convert to fraction form
   151,926/333,006 = 333,006/x
3. Step 3: Cross multiply
   151,926x = 333,006 × 333,006
4. Step 4: Simplify right side
   151,926x = 110,892,996,036
5. Step 5: Solve for x
   x = 110,892,996,036/151,926
6. Step 6: Final answer
   x = 729,914.54