Finding the Third Proportional to 191,800.50 and 403,824

Step by Step Solution

1. Step 1: Write the proportion equation
   191,800.50 : 403,824 = 403,824 : x
2. Step 2: Convert to fraction form
   191,800.50/403,824 = 403,824/x
3. Step 3: Cross multiply
   191,800.50x = 403,824 × 403,824
4. Step 4: Simplify right side
   191,800.50x = 163,073,822,976
5. Step 5: Solve for x
   x = 163,073,822,976/191,800.50
6. Step 6: Final answer
   x = 850,226.27