Finding the Third Proportional to 194,809 and 263,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,809 : 263,989.50 = 263,989.50 : x
2. Step 2: Convert to fraction form
   194,809/263,989.50 = 263,989.50/x
3. Step 3: Cross multiply
   194,809x = 263,989.50 × 263,989.50
4. Step 4: Simplify right side
   194,809x = 69,690,456,110.25
5. Step 5: Solve for x
   x = 69,690,456,110.25/194,809
6. Step 6: Final answer
   x = 357,737.35