Finding the Third Proportional to 42,771 and 103,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,771 : 103,039.50 = 103,039.50 : x
2. Step 2: Convert to fraction form
   42,771/103,039.50 = 103,039.50/x
3. Step 3: Cross multiply
   42,771x = 103,039.50 × 103,039.50
4. Step 4: Simplify right side
   42,771x = 10,617,138,560.25
5. Step 5: Solve for x
   x = 10,617,138,560.25/42,771
6. Step 6: Final answer
   x = 248,232.18