Finding the Third Proportional to 46,980 and 105,786

Step by Step Solution

1. Step 1: Write the proportion equation
   46,980 : 105,786 = 105,786 : x
2. Step 2: Convert to fraction form
   46,980/105,786 = 105,786/x
3. Step 3: Cross multiply
   46,980x = 105,786 × 105,786
4. Step 4: Simplify right side
   46,980x = 11,190,677,796
5. Step 5: Solve for x
   x = 11,190,677,796/46,980
6. Step 6: Final answer
   x = 238,200.89