Finding the Third Proportional to 152,004 and 233,311

Step by Step Solution

1. Step 1: Write the proportion equation
   152,004 : 233,311 = 233,311 : x
2. Step 2: Convert to fraction form
   152,004/233,311 = 233,311/x
3. Step 3: Cross multiply
   152,004x = 233,311 × 233,311
4. Step 4: Simplify right side
   152,004x = 54,434,022,721
5. Step 5: Solve for x
   x = 54,434,022,721/152,004
6. Step 6: Final answer
   x = 358,109.15