Finding the Third Proportional to 152,933 and 233,288

Step by Step Solution

1. Step 1: Write the proportion equation
   152,933 : 233,288 = 233,288 : x
2. Step 2: Convert to fraction form
   152,933/233,288 = 233,288/x
3. Step 3: Cross multiply
   152,933x = 233,288 × 233,288
4. Step 4: Simplify right side
   152,933x = 54,423,290,944
5. Step 5: Solve for x
   x = 54,423,290,944/152,933
6. Step 6: Final answer
   x = 355,863.62