Finding the Third Proportional to 83,449.50 and 185,556.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,449.50 : 185,556.75 = 185,556.75 : x
2. Step 2: Convert to fraction form
   83,449.50/185,556.75 = 185,556.75/x
3. Step 3: Cross multiply
   83,449.50x = 185,556.75 × 185,556.75
4. Step 4: Simplify right side
   83,449.50x = 34,431,307,470.56
5. Step 5: Solve for x
   x = 34,431,307,470.56/83,449.50
6. Step 6: Final answer
   x = 412,600.52