Finding the Third Proportional to 99,644 and 215,570

Step by Step Solution

1. Step 1: Write the proportion equation
   99,644 : 215,570 = 215,570 : x
2. Step 2: Convert to fraction form
   99,644/215,570 = 215,570/x
3. Step 3: Cross multiply
   99,644x = 215,570 × 215,570
4. Step 4: Simplify right side
   99,644x = 46,470,424,900
5. Step 5: Solve for x
   x = 46,470,424,900/99,644
6. Step 6: Final answer
   x = 466,364.51