Finding the Third Proportional to 194,877 and 293,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,877 : 293,596.50 = 293,596.50 : x
2. Step 2: Convert to fraction form
   194,877/293,596.50 = 293,596.50/x
3. Step 3: Cross multiply
   194,877x = 293,596.50 × 293,596.50
4. Step 4: Simplify right side
   194,877x = 86,198,904,812.25
5. Step 5: Solve for x
   x = 86,198,904,812.25/194,877
6. Step 6: Final answer
   x = 442,324.67