Finding the Third Proportional to 137,790 and 195,027.75

Step by Step Solution

1. Step 1: Write the proportion equation
   137,790 : 195,027.75 = 195,027.75 : x
2. Step 2: Convert to fraction form
   137,790/195,027.75 = 195,027.75/x
3. Step 3: Cross multiply
   137,790x = 195,027.75 × 195,027.75
4. Step 4: Simplify right side
   137,790x = 38,035,823,270.06
5. Step 5: Solve for x
   x = 38,035,823,270.06/137,790
6. Step 6: Final answer
   x = 276,041.97