Finding the Third Proportional to 56,378 and 89,204

Step by Step Solution

1. Step 1: Write the proportion equation
   56,378 : 89,204 = 89,204 : x
2. Step 2: Convert to fraction form
   56,378/89,204 = 89,204/x
3. Step 3: Cross multiply
   56,378x = 89,204 × 89,204
4. Step 4: Simplify right side
   56,378x = 7,957,353,616
5. Step 5: Solve for x
   x = 7,957,353,616/56,378
6. Step 6: Final answer
   x = 141,142.89