Finding the Third Proportional to 190,434 and 405,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,434 : 405,541.50 = 405,541.50 : x
2. Step 2: Convert to fraction form
   190,434/405,541.50 = 405,541.50/x
3. Step 3: Cross multiply
   190,434x = 405,541.50 × 405,541.50
4. Step 4: Simplify right side
   190,434x = 164,463,908,222.25
5. Step 5: Solve for x
   x = 164,463,908,222.25/190,434
6. Step 6: Final answer
   x = 863,626.81