Finding the Third Proportional to 195,414 and 293,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   195,414 : 293,638.50 = 293,638.50 : x
2. Step 2: Convert to fraction form
   195,414/293,638.50 = 293,638.50/x
3. Step 3: Cross multiply
   195,414x = 293,638.50 × 293,638.50
4. Step 4: Simplify right side
   195,414x = 86,223,568,682.25
5. Step 5: Solve for x
   x = 86,223,568,682.25/195,414
6. Step 6: Final answer
   x = 441,235.37