Finding the Third Proportional to 141,906.50 and 213,458

Step by Step Solution

1. Step 1: Write the proportion equation
   141,906.50 : 213,458 = 213,458 : x
2. Step 2: Convert to fraction form
   141,906.50/213,458 = 213,458/x
3. Step 3: Cross multiply
   141,906.50x = 213,458 × 213,458
4. Step 4: Simplify right side
   141,906.50x = 45,564,317,764
5. Step 5: Solve for x
   x = 45,564,317,764/141,906.50
6. Step 6: Final answer
   x = 321,086.90