Finding the Third Proportional to 152,707 and 233,010

Step by Step Solution

1. Step 1: Write the proportion equation
   152,707 : 233,010 = 233,010 : x
2. Step 2: Convert to fraction form
   152,707/233,010 = 233,010/x
3. Step 3: Cross multiply
   152,707x = 233,010 × 233,010
4. Step 4: Simplify right side
   152,707x = 54,293,660,100
5. Step 5: Solve for x
   x = 54,293,660,100/152,707
6. Step 6: Final answer
   x = 355,541.40