Finding the Third Proportional to 100,584 and 140,958

Step by Step Solution

1. Step 1: Write the proportion equation
   100,584 : 140,958 = 140,958 : x
2. Step 2: Convert to fraction form
   100,584/140,958 = 140,958/x
3. Step 3: Cross multiply
   100,584x = 140,958 × 140,958
4. Step 4: Simplify right side
   100,584x = 19,869,157,764
5. Step 5: Solve for x
   x = 19,869,157,764/100,584
6. Step 6: Final answer
   x = 197,537.96