Finding the Third Proportional to 190,388.50 and 413,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,388.50 : 413,601.50 = 413,601.50 : x
2. Step 2: Convert to fraction form
   190,388.50/413,601.50 = 413,601.50/x
3. Step 3: Cross multiply
   190,388.50x = 413,601.50 × 413,601.50
4. Step 4: Simplify right side
   190,388.50x = 171,066,200,802.25
5. Step 5: Solve for x
   x = 171,066,200,802.25/190,388.50
6. Step 6: Final answer
   x = 898,511.21