Finding the Third Proportional to 185,343 and 406,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,343 : 406,771.50 = 406,771.50 : x
2. Step 2: Convert to fraction form
   185,343/406,771.50 = 406,771.50/x
3. Step 3: Cross multiply
   185,343x = 406,771.50 × 406,771.50
4. Step 4: Simplify right side
   185,343x = 165,463,053,212.25
5. Step 5: Solve for x
   x = 165,463,053,212.25/185,343
6. Step 6: Final answer
   x = 892,739.69