Finding the Third Proportional to 88,055 and 191,824

Step by Step Solution

1. Step 1: Write the proportion equation
   88,055 : 191,824 = 191,824 : x
2. Step 2: Convert to fraction form
   88,055/191,824 = 191,824/x
3. Step 3: Cross multiply
   88,055x = 191,824 × 191,824
4. Step 4: Simplify right side
   88,055x = 36,796,446,976
5. Step 5: Solve for x
   x = 36,796,446,976/88,055
6. Step 6: Final answer
   x = 417,880.27