Finding the Third Proportional to 152,542 and 233,353

Step by Step Solution

1. Step 1: Write the proportion equation
   152,542 : 233,353 = 233,353 : x
2. Step 2: Convert to fraction form
   152,542/233,353 = 233,353/x
3. Step 3: Cross multiply
   152,542x = 233,353 × 233,353
4. Step 4: Simplify right side
   152,542x = 54,453,622,609
5. Step 5: Solve for x
   x = 54,453,622,609/152,542
6. Step 6: Final answer
   x = 356,974.62