Finding the Third Proportional to 137,786 and 195,036

Step by Step Solution

1. Step 1: Write the proportion equation
   137,786 : 195,036 = 195,036 : x
2. Step 2: Convert to fraction form
   137,786/195,036 = 195,036/x
3. Step 3: Cross multiply
   137,786x = 195,036 × 195,036
4. Step 4: Simplify right side
   137,786x = 38,039,041,296
5. Step 5: Solve for x
   x = 38,039,041,296/137,786
6. Step 6: Final answer
   x = 276,073.34