Finding the Third Proportional to 196,782 and 300,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,782 : 300,874.50 = 300,874.50 : x
2. Step 2: Convert to fraction form
   196,782/300,874.50 = 300,874.50/x
3. Step 3: Cross multiply
   196,782x = 300,874.50 × 300,874.50
4. Step 4: Simplify right side
   196,782x = 90,525,464,750.25
5. Step 5: Solve for x
   x = 90,525,464,750.25/196,782
6. Step 6: Final answer
   x = 460,029.19