Finding the Third Proportional to 131,434 and 185,974

Step by Step Solution

1. Step 1: Write the proportion equation
   131,434 : 185,974 = 185,974 : x
2. Step 2: Convert to fraction form
   131,434/185,974 = 185,974/x
3. Step 3: Cross multiply
   131,434x = 185,974 × 185,974
4. Step 4: Simplify right side
   131,434x = 34,586,328,676
5. Step 5: Solve for x
   x = 34,586,328,676/131,434
6. Step 6: Final answer
   x = 263,145.98