Finding the Third Proportional to 57,784 and 86,443

Step by Step Solution

1. Step 1: Write the proportion equation
   57,784 : 86,443 = 86,443 : x
2. Step 2: Convert to fraction form
   57,784/86,443 = 86,443/x
3. Step 3: Cross multiply
   57,784x = 86,443 × 86,443
4. Step 4: Simplify right side
   57,784x = 7,472,392,249
5. Step 5: Solve for x
   x = 7,472,392,249/57,784
6. Step 6: Final answer
   x = 129,315.94