Finding the Third Proportional to 152,028 and 330,003

Step by Step Solution

1. Step 1: Write the proportion equation
   152,028 : 330,003 = 330,003 : x
2. Step 2: Convert to fraction form
   152,028/330,003 = 330,003/x
3. Step 3: Cross multiply
   152,028x = 330,003 × 330,003
4. Step 4: Simplify right side
   152,028x = 108,901,980,009
5. Step 5: Solve for x
   x = 108,901,980,009/152,028
6. Step 6: Final answer
   x = 716,328.44