Finding the Third Proportional to 137,796 and 195,033.75

Step by Step Solution

1. Step 1: Write the proportion equation
   137,796 : 195,033.75 = 195,033.75 : x
2. Step 2: Convert to fraction form
   137,796/195,033.75 = 195,033.75/x
3. Step 3: Cross multiply
   137,796x = 195,033.75 × 195,033.75
4. Step 4: Simplify right side
   137,796x = 38,038,163,639.06
5. Step 5: Solve for x
   x = 38,038,163,639.06/137,796
6. Step 6: Final answer
   x = 276,046.94