Finding the Third Proportional to 152,804 and 233,598

Step by Step Solution

1. Step 1: Write the proportion equation
   152,804 : 233,598 = 233,598 : x
2. Step 2: Convert to fraction form
   152,804/233,598 = 233,598/x
3. Step 3: Cross multiply
   152,804x = 233,598 × 233,598
4. Step 4: Simplify right side
   152,804x = 54,568,025,604
5. Step 5: Solve for x
   x = 54,568,025,604/152,804
6. Step 6: Final answer
   x = 357,111.24