Finding the Third Proportional to 99,116 and 213,784

Step by Step Solution

1. Step 1: Write the proportion equation
   99,116 : 213,784 = 213,784 : x
2. Step 2: Convert to fraction form
   99,116/213,784 = 213,784/x
3. Step 3: Cross multiply
   99,116x = 213,784 × 213,784
4. Step 4: Simplify right side
   99,116x = 45,703,598,656
5. Step 5: Solve for x
   x = 45,703,598,656/99,116
6. Step 6: Final answer
   x = 461,112.22