Finding the Third Proportional to 137,974 and 189,978

Step by Step Solution

1. Step 1: Write the proportion equation
   137,974 : 189,978 = 189,978 : x
2. Step 2: Convert to fraction form
   137,974/189,978 = 189,978/x
3. Step 3: Cross multiply
   137,974x = 189,978 × 189,978
4. Step 4: Simplify right side
   137,974x = 36,091,640,484
5. Step 5: Solve for x
   x = 36,091,640,484/137,974
6. Step 6: Final answer
   x = 261,582.91