Finding the Third Proportional to 142,338.50 and 213,416

Step by Step Solution

1. Step 1: Write the proportion equation
   142,338.50 : 213,416 = 213,416 : x
2. Step 2: Convert to fraction form
   142,338.50/213,416 = 213,416/x
3. Step 3: Cross multiply
   142,338.50x = 213,416 × 213,416
4. Step 4: Simplify right side
   142,338.50x = 45,546,389,056
5. Step 5: Solve for x
   x = 45,546,389,056/142,338.50
6. Step 6: Final answer
   x = 319,986.43