Finding the Third Proportional to 51,871 and 80,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,871 : 80,109.50 = 80,109.50 : x
2. Step 2: Convert to fraction form
   51,871/80,109.50 = 80,109.50/x
3. Step 3: Cross multiply
   51,871x = 80,109.50 × 80,109.50
4. Step 4: Simplify right side
   51,871x = 6,417,531,990.25
5. Step 5: Solve for x
   x = 6,417,531,990.25/51,871
6. Step 6: Final answer
   x = 123,721.00