Finding the Third Proportional to 101,090 and 221,404

Step by Step Solution

1. Step 1: Write the proportion equation
   101,090 : 221,404 = 221,404 : x
2. Step 2: Convert to fraction form
   101,090/221,404 = 221,404/x
3. Step 3: Cross multiply
   101,090x = 221,404 × 221,404
4. Step 4: Simplify right side
   101,090x = 49,019,731,216
5. Step 5: Solve for x
   x = 49,019,731,216/101,090
6. Step 6: Final answer
   x = 484,911.77