Finding the Third Proportional to 152,986 and 333,191

Step by Step Solution

1. Step 1: Write the proportion equation
   152,986 : 333,191 = 333,191 : x
2. Step 2: Convert to fraction form
   152,986/333,191 = 333,191/x
3. Step 3: Cross multiply
   152,986x = 333,191 × 333,191
4. Step 4: Simplify right side
   152,986x = 111,016,242,481
5. Step 5: Solve for x
   x = 111,016,242,481/152,986
6. Step 6: Final answer
   x = 725,662.76