Finding the Third Proportional to 100,143 and 217,404

Step by Step Solution

1. Step 1: Write the proportion equation
   100,143 : 217,404 = 217,404 : x
2. Step 2: Convert to fraction form
   100,143/217,404 = 217,404/x
3. Step 3: Cross multiply
   100,143x = 217,404 × 217,404
4. Step 4: Simplify right side
   100,143x = 47,264,499,216
5. Step 5: Solve for x
   x = 47,264,499,216/100,143
6. Step 6: Final answer
   x = 471,970.07