Finding the Third Proportional to 99,303 and 216,456

Step by Step Solution

1. Step 1: Write the proportion equation
   99,303 : 216,456 = 216,456 : x
2. Step 2: Convert to fraction form
   99,303/216,456 = 216,456/x
3. Step 3: Cross multiply
   99,303x = 216,456 × 216,456
4. Step 4: Simplify right side
   99,303x = 46,853,199,936
5. Step 5: Solve for x
   x = 46,853,199,936/99,303
6. Step 6: Final answer
   x = 471,820.59