Finding the Third Proportional to 140,786 and 207,254

Step by Step Solution

1. Step 1: Write the proportion equation
   140,786 : 207,254 = 207,254 : x
2. Step 2: Convert to fraction form
   140,786/207,254 = 207,254/x
3. Step 3: Cross multiply
   140,786x = 207,254 × 207,254
4. Step 4: Simplify right side
   140,786x = 42,954,220,516
5. Step 5: Solve for x
   x = 42,954,220,516/140,786
6. Step 6: Final answer
   x = 305,102.93