Finding the Third Proportional to 64,565 and 140,564

Step by Step Solution

1. Step 1: Write the proportion equation
   64,565 : 140,564 = 140,564 : x
2. Step 2: Convert to fraction form
   64,565/140,564 = 140,564/x
3. Step 3: Cross multiply
   64,565x = 140,564 × 140,564
4. Step 4: Simplify right side
   64,565x = 19,758,238,096
5. Step 5: Solve for x
   x = 19,758,238,096/64,565
6. Step 6: Final answer
   x = 306,020.88