Finding the Third Proportional to 99,033 and 213,846

Step by Step Solution

1. Step 1: Write the proportion equation
   99,033 : 213,846 = 213,846 : x
2. Step 2: Convert to fraction form
   99,033/213,846 = 213,846/x
3. Step 3: Cross multiply
   99,033x = 213,846 × 213,846
4. Step 4: Simplify right side
   99,033x = 45,730,111,716
5. Step 5: Solve for x
   x = 45,730,111,716/99,033
6. Step 6: Final answer
   x = 461,766.40