Finding the Third Proportional to 42,849 and 87,786

Step by Step Solution

1. Step 1: Write the proportion equation
   42,849 : 87,786 = 87,786 : x
2. Step 2: Convert to fraction form
   42,849/87,786 = 87,786/x
3. Step 3: Cross multiply
   42,849x = 87,786 × 87,786
4. Step 4: Simplify right side
   42,849x = 7,706,381,796
5. Step 5: Solve for x
   x = 7,706,381,796/42,849
6. Step 6: Final answer
   x = 179,849.75