Finding the Third Proportional to 40,872 and 98,830

Step by Step Solution

1. Step 1: Write the proportion equation
   40,872 : 98,830 = 98,830 : x
2. Step 2: Convert to fraction form
   40,872/98,830 = 98,830/x
3. Step 3: Cross multiply
   40,872x = 98,830 × 98,830
4. Step 4: Simplify right side
   40,872x = 9,767,368,900
5. Step 5: Solve for x
   x = 9,767,368,900/40,872
6. Step 6: Final answer
   x = 238,974.58