Finding the Third Proportional to 46,998 and 105,830

Step by Step Solution

1. Step 1: Write the proportion equation
   46,998 : 105,830 = 105,830 : x
2. Step 2: Convert to fraction form
   46,998/105,830 = 105,830/x
3. Step 3: Cross multiply
   46,998x = 105,830 × 105,830
4. Step 4: Simplify right side
   46,998x = 11,199,988,900
5. Step 5: Solve for x
   x = 11,199,988,900/46,998
6. Step 6: Final answer
   x = 238,307.78