Finding the Third Proportional to 64,109 and 140,314

Step by Step Solution

1. Step 1: Write the proportion equation
   64,109 : 140,314 = 140,314 : x
2. Step 2: Convert to fraction form
   64,109/140,314 = 140,314/x
3. Step 3: Cross multiply
   64,109x = 140,314 × 140,314
4. Step 4: Simplify right side
   64,109x = 19,688,018,596
5. Step 5: Solve for x
   x = 19,688,018,596/64,109
6. Step 6: Final answer
   x = 307,102.26