Finding the Third Proportional to 46,784 and 98,824

Step by Step Solution

1. Step 1: Write the proportion equation
   46,784 : 98,824 = 98,824 : x
2. Step 2: Convert to fraction form
   46,784/98,824 = 98,824/x
3. Step 3: Cross multiply
   46,784x = 98,824 × 98,824
4. Step 4: Simplify right side
   46,784x = 9,766,182,976
5. Step 5: Solve for x
   x = 9,766,182,976/46,784
6. Step 6: Final answer
   x = 208,750.49