Finding the Third Proportional to 64,540 and 141,808

Step by Step Solution

1. Step 1: Write the proportion equation
   64,540 : 141,808 = 141,808 : x
2. Step 2: Convert to fraction form
   64,540/141,808 = 141,808/x
3. Step 3: Cross multiply
   64,540x = 141,808 × 141,808
4. Step 4: Simplify right side
   64,540x = 20,109,508,864
5. Step 5: Solve for x
   x = 20,109,508,864/64,540
6. Step 6: Final answer
   x = 311,582.10