Finding the Third Proportional to 195,834 and 293,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   195,834 : 293,008.50 = 293,008.50 : x
2. Step 2: Convert to fraction form
   195,834/293,008.50 = 293,008.50/x
3. Step 3: Cross multiply
   195,834x = 293,008.50 × 293,008.50
4. Step 4: Simplify right side
   195,834x = 85,853,981,072.25
5. Step 5: Solve for x
   x = 85,853,981,072.25/195,834
6. Step 6: Final answer
   x = 438,401.82