Finding the Third Proportional to 48,320 and 98,004

Step by Step Solution

1. Step 1: Write the proportion equation
   48,320 : 98,004 = 98,004 : x
2. Step 2: Convert to fraction form
   48,320/98,004 = 98,004/x
3. Step 3: Cross multiply
   48,320x = 98,004 × 98,004
4. Step 4: Simplify right side
   48,320x = 9,604,784,016
5. Step 5: Solve for x
   x = 9,604,784,016/48,320
6. Step 6: Final answer
   x = 198,774.50