Finding the Third Proportional to 137,183 and 195,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,183 : 195,795.50 = 195,795.50 : x
2. Step 2: Convert to fraction form
   137,183/195,795.50 = 195,795.50/x
3. Step 3: Cross multiply
   137,183x = 195,795.50 × 195,795.50
4. Step 4: Simplify right side
   137,183x = 38,335,877,820.25
5. Step 5: Solve for x
   x = 38,335,877,820.25/137,183
6. Step 6: Final answer
   x = 279,450.64