Finding the Third Proportional to 49,824 and 117,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,824 : 117,229.50 = 117,229.50 : x
2. Step 2: Convert to fraction form
   49,824/117,229.50 = 117,229.50/x
3. Step 3: Cross multiply
   49,824x = 117,229.50 × 117,229.50
4. Step 4: Simplify right side
   49,824x = 13,742,755,670.25
5. Step 5: Solve for x
   x = 13,742,755,670.25/49,824
6. Step 6: Final answer
   x = 275,826.02