Finding the Third Proportional to 152,406 and 233,001

Step by Step Solution

1. Step 1: Write the proportion equation
   152,406 : 233,001 = 233,001 : x
2. Step 2: Convert to fraction form
   152,406/233,001 = 233,001/x
3. Step 3: Cross multiply
   152,406x = 233,001 × 233,001
4. Step 4: Simplify right side
   152,406x = 54,289,466,001
5. Step 5: Solve for x
   x = 54,289,466,001/152,406
6. Step 6: Final answer
   x = 356,216.07