Finding the Third Proportional to 99,084 and 213,960

Step by Step Solution

1. Step 1: Write the proportion equation
   99,084 : 213,960 = 213,960 : x
2. Step 2: Convert to fraction form
   99,084/213,960 = 213,960/x
3. Step 3: Cross multiply
   99,084x = 213,960 × 213,960
4. Step 4: Simplify right side
   99,084x = 45,778,881,600
5. Step 5: Solve for x
   x = 45,778,881,600/99,084
6. Step 6: Final answer
   x = 462,020.93