Finding the Third Proportional to 42,786 and 103,077

Step by Step Solution

1. Step 1: Write the proportion equation
   42,786 : 103,077 = 103,077 : x
2. Step 2: Convert to fraction form
   42,786/103,077 = 103,077/x
3. Step 3: Cross multiply
   42,786x = 103,077 × 103,077
4. Step 4: Simplify right side
   42,786x = 10,624,867,929
5. Step 5: Solve for x
   x = 10,624,867,929/42,786
6. Step 6: Final answer
   x = 248,325.81