Finding the Third Proportional to 142,074 and 213,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,074 : 213,475.50 = 213,475.50 : x
2. Step 2: Convert to fraction form
   142,074/213,475.50 = 213,475.50/x
3. Step 3: Cross multiply
   142,074x = 213,475.50 × 213,475.50
4. Step 4: Simplify right side
   142,074x = 45,571,789,100.25
5. Step 5: Solve for x
   x = 45,571,789,100.25/142,074
6. Step 6: Final answer
   x = 320,760.94