Finding the Third Proportional to 123,787 and 186,863

Step by Step Solution

1. Step 1: Write the proportion equation
   123,787 : 186,863 = 186,863 : x
2. Step 2: Convert to fraction form
   123,787/186,863 = 186,863/x
3. Step 3: Cross multiply
   123,787x = 186,863 × 186,863
4. Step 4: Simplify right side
   123,787x = 34,917,780,769
5. Step 5: Solve for x
   x = 34,917,780,769/123,787
6. Step 6: Final answer
   x = 282,079.55