Finding the Third Proportional to 100,830 and 154,770

Step by Step Solution

1. Step 1: Write the proportion equation
   100,830 : 154,770 = 154,770 : x
2. Step 2: Convert to fraction form
   100,830/154,770 = 154,770/x
3. Step 3: Cross multiply
   100,830x = 154,770 × 154,770
4. Step 4: Simplify right side
   100,830x = 23,953,752,900
5. Step 5: Solve for x
   x = 23,953,752,900/100,830
6. Step 6: Final answer
   x = 237,565.73