Finding the Third Proportional to 64,105 and 140,275

Step by Step Solution

1. Step 1: Write the proportion equation
   64,105 : 140,275 = 140,275 : x
2. Step 2: Convert to fraction form
   64,105/140,275 = 140,275/x
3. Step 3: Cross multiply
   64,105x = 140,275 × 140,275
4. Step 4: Simplify right side
   64,105x = 19,677,075,625
5. Step 5: Solve for x
   x = 19,677,075,625/64,105
6. Step 6: Final answer
   x = 306,950.72