Finding the Third Proportional to 64,458 and 141,993

Step by Step Solution

1. Step 1: Write the proportion equation
   64,458 : 141,993 = 141,993 : x
2. Step 2: Convert to fraction form
   64,458/141,993 = 141,993/x
3. Step 3: Cross multiply
   64,458x = 141,993 × 141,993
4. Step 4: Simplify right side
   64,458x = 20,162,012,049
5. Step 5: Solve for x
   x = 20,162,012,049/64,458
6. Step 6: Final answer
   x = 312,793.01