Finding the Third Proportional to 42,800 and 103,102

Step by Step Solution

1. Step 1: Write the proportion equation
   42,800 : 103,102 = 103,102 : x
2. Step 2: Convert to fraction form
   42,800/103,102 = 103,102/x
3. Step 3: Cross multiply
   42,800x = 103,102 × 103,102
4. Step 4: Simplify right side
   42,800x = 10,630,022,404
5. Step 5: Solve for x
   x = 10,630,022,404/42,800
6. Step 6: Final answer
   x = 248,365.01