Finding the Third Proportional to 100,123 and 139,978

Step by Step Solution

1. Step 1: Write the proportion equation
   100,123 : 139,978 = 139,978 : x
2. Step 2: Convert to fraction form
   100,123/139,978 = 139,978/x
3. Step 3: Cross multiply
   100,123x = 139,978 × 139,978
4. Step 4: Simplify right side
   100,123x = 19,593,840,484
5. Step 5: Solve for x
   x = 19,593,840,484/100,123
6. Step 6: Final answer
   x = 195,697.70