Finding the Third Proportional to 152,016 and 333,219

Step by Step Solution

1. Step 1: Write the proportion equation
   152,016 : 333,219 = 333,219 : x
2. Step 2: Convert to fraction form
   152,016/333,219 = 333,219/x
3. Step 3: Cross multiply
   152,016x = 333,219 × 333,219
4. Step 4: Simplify right side
   152,016x = 111,034,901,961
5. Step 5: Solve for x
   x = 111,034,901,961/152,016
6. Step 6: Final answer
   x = 730,415.89