Finding the Third Proportional to 101,746.50 and 221,004

Step by Step Solution

1. Step 1: Write the proportion equation
   101,746.50 : 221,004 = 221,004 : x
2. Step 2: Convert to fraction form
   101,746.50/221,004 = 221,004/x
3. Step 3: Cross multiply
   101,746.50x = 221,004 × 221,004
4. Step 4: Simplify right side
   101,746.50x = 48,842,768,016
5. Step 5: Solve for x
   x = 48,842,768,016/101,746.50
6. Step 6: Final answer
   x = 480,043.72