Finding the Third Proportional to 152,918 and 233,770

Step by Step Solution

1. Step 1: Write the proportion equation
   152,918 : 233,770 = 233,770 : x
2. Step 2: Convert to fraction form
   152,918/233,770 = 233,770/x
3. Step 3: Cross multiply
   152,918x = 233,770 × 233,770
4. Step 4: Simplify right side
   152,918x = 54,648,412,900
5. Step 5: Solve for x
   x = 54,648,412,900/152,918
6. Step 6: Final answer
   x = 357,370.70