Finding the Third Proportional to 193,827 and 410,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,827 : 410,668.50 = 410,668.50 : x
2. Step 2: Convert to fraction form
   193,827/410,668.50 = 410,668.50/x
3. Step 3: Cross multiply
   193,827x = 410,668.50 × 410,668.50
4. Step 4: Simplify right side
   193,827x = 168,648,616,892.25
5. Step 5: Solve for x
   x = 168,648,616,892.25/193,827
6. Step 6: Final answer
   x = 870,098.68