Finding the Third Proportional to 42,787 and 103,077

Step by Step Solution

1. Step 1: Write the proportion equation
   42,787 : 103,077 = 103,077 : x
2. Step 2: Convert to fraction form
   42,787/103,077 = 103,077/x
3. Step 3: Cross multiply
   42,787x = 103,077 × 103,077
4. Step 4: Simplify right side
   42,787x = 10,624,867,929
5. Step 5: Solve for x
   x = 10,624,867,929/42,787
6. Step 6: Final answer
   x = 248,320.00