Finding the Third Proportional to 57,465 and 89,204

Step by Step Solution

1. Step 1: Write the proportion equation
   57,465 : 89,204 = 89,204 : x
2. Step 2: Convert to fraction form
   57,465/89,204 = 89,204/x
3. Step 3: Cross multiply
   57,465x = 89,204 × 89,204
4. Step 4: Simplify right side
   57,465x = 7,957,353,616
5. Step 5: Solve for x
   x = 7,957,353,616/57,465
6. Step 6: Final answer
   x = 138,473.05