Finding the Third Proportional to 64,323 and 140,526

Step by Step Solution

1. Step 1: Write the proportion equation
   64,323 : 140,526 = 140,526 : x
2. Step 2: Convert to fraction form
   64,323/140,526 = 140,526/x
3. Step 3: Cross multiply
   64,323x = 140,526 × 140,526
4. Step 4: Simplify right side
   64,323x = 19,747,556,676
5. Step 5: Solve for x
   x = 19,747,556,676/64,323
6. Step 6: Final answer
   x = 307,006.15