Finding the Third Proportional to 64,697 and 141,846

Step by Step Solution

1. Step 1: Write the proportion equation
   64,697 : 141,846 = 141,846 : x
2. Step 2: Convert to fraction form
   64,697/141,846 = 141,846/x
3. Step 3: Cross multiply
   64,697x = 141,846 × 141,846
4. Step 4: Simplify right side
   64,697x = 20,120,287,716
5. Step 5: Solve for x
   x = 20,120,287,716/64,697
6. Step 6: Final answer
   x = 310,992.59