Finding the Third Proportional to 100,590 and 140,967.38

Step by Step Solution

1. Step 1: Write the proportion equation
   100,590 : 140,967.38 = 140,967.38 : x
2. Step 2: Convert to fraction form
   100,590/140,967.38 = 140,967.38/x
3. Step 3: Cross multiply
   100,590x = 140,967.38 × 140,967.38
4. Step 4: Simplify right side
   100,590x = 19,871,800,814.39
5. Step 5: Solve for x
   x = 19,871,800,814.39/100,590
6. Step 6: Final answer
   x = 197,552.45