Finding the Third Proportional to 64,821 and 140,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,821 : 140,707.50 = 140,707.50 : x
2. Step 2: Convert to fraction form
   64,821/140,707.50 = 140,707.50/x
3. Step 3: Cross multiply
   64,821x = 140,707.50 × 140,707.50
4. Step 4: Simplify right side
   64,821x = 19,798,600,556.25
5. Step 5: Solve for x
   x = 19,798,600,556.25/64,821
6. Step 6: Final answer
   x = 305,434.98