Finding the Third Proportional to 190,498.50 and 407,223

Step by Step Solution

1. Step 1: Write the proportion equation
   190,498.50 : 407,223 = 407,223 : x
2. Step 2: Convert to fraction form
   190,498.50/407,223 = 407,223/x
3. Step 3: Cross multiply
   190,498.50x = 407,223 × 407,223
4. Step 4: Simplify right side
   190,498.50x = 165,830,571,729
5. Step 5: Solve for x
   x = 165,830,571,729/190,498.50
6. Step 6: Final answer
   x = 870,508.54