Finding the Third Proportional to 93,914 and 208,824

Step by Step Solution

1. Step 1: Write the proportion equation
   93,914 : 208,824 = 208,824 : x
2. Step 2: Convert to fraction form
   93,914/208,824 = 208,824/x
3. Step 3: Cross multiply
   93,914x = 208,824 × 208,824
4. Step 4: Simplify right side
   93,914x = 43,607,462,976
5. Step 5: Solve for x
   x = 43,607,462,976/93,914
6. Step 6: Final answer
   x = 464,334.00