Finding the Third Proportional to 196,467 and 407,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,467 : 407,002.50 = 407,002.50 : x
2. Step 2: Convert to fraction form
   196,467/407,002.50 = 407,002.50/x
3. Step 3: Cross multiply
   196,467x = 407,002.50 × 407,002.50
4. Step 4: Simplify right side
   196,467x = 165,651,035,006.25
5. Step 5: Solve for x
   x = 165,651,035,006.25/196,467
6. Step 6: Final answer
   x = 843,149.41