Finding the Third Proportional to 98,581 and 215,404

Step by Step Solution

1. Step 1: Write the proportion equation
   98,581 : 215,404 = 215,404 : x
2. Step 2: Convert to fraction form
   98,581/215,404 = 215,404/x
3. Step 3: Cross multiply
   98,581x = 215,404 × 215,404
4. Step 4: Simplify right side
   98,581x = 46,398,883,216
5. Step 5: Solve for x
   x = 46,398,883,216/98,581
6. Step 6: Final answer
   x = 470,667.61