Finding the Third Proportional to 99,216 and 215,946

Step by Step Solution

1. Step 1: Write the proportion equation
   99,216 : 215,946 = 215,946 : x
2. Step 2: Convert to fraction form
   99,216/215,946 = 215,946/x
3. Step 3: Cross multiply
   99,216x = 215,946 × 215,946
4. Step 4: Simplify right side
   99,216x = 46,632,674,916
5. Step 5: Solve for x
   x = 46,632,674,916/99,216
6. Step 6: Final answer
   x = 470,011.64