Finding the Third Proportional to 196,870.50 and 406,863

Step by Step Solution

1. Step 1: Write the proportion equation
   196,870.50 : 406,863 = 406,863 : x
2. Step 2: Convert to fraction form
   196,870.50/406,863 = 406,863/x
3. Step 3: Cross multiply
   196,870.50x = 406,863 × 406,863
4. Step 4: Simplify right side
   196,870.50x = 165,537,500,769
5. Step 5: Solve for x
   x = 165,537,500,769/196,870.50
6. Step 6: Final answer
   x = 840,844.62