Finding the Third Proportional to 137,323.50 and 195,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,323.50 : 195,997.50 = 195,997.50 : x
2. Step 2: Convert to fraction form
   137,323.50/195,997.50 = 195,997.50/x
3. Step 3: Cross multiply
   137,323.50x = 195,997.50 × 195,997.50
4. Step 4: Simplify right side
   137,323.50x = 38,415,020,006.25
5. Step 5: Solve for x
   x = 38,415,020,006.25/137,323.50
6. Step 6: Final answer
   x = 279,741.05