Finding the Third Proportional to 64,514 and 89,147

Step by Step Solution

1. Step 1: Write the proportion equation
   64,514 : 89,147 = 89,147 : x
2. Step 2: Convert to fraction form
   64,514/89,147 = 89,147/x
3. Step 3: Cross multiply
   64,514x = 89,147 × 89,147
4. Step 4: Simplify right side
   64,514x = 7,947,187,609
5. Step 5: Solve for x
   x = 7,947,187,609/64,514
6. Step 6: Final answer
   x = 123,185.47