Finding the Third Proportional to 140,121 and 213,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,121 : 213,421.50 = 213,421.50 : x
2. Step 2: Convert to fraction form
   140,121/213,421.50 = 213,421.50/x
3. Step 3: Cross multiply
   140,121x = 213,421.50 × 213,421.50
4. Step 4: Simplify right side
   140,121x = 45,548,736,662.25
5. Step 5: Solve for x
   x = 45,548,736,662.25/140,121
6. Step 6: Final answer
   x = 325,067.17