Finding the Third Proportional to 99,021 and 213,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,021 : 213,826.50 = 213,826.50 : x
2. Step 2: Convert to fraction form
   99,021/213,826.50 = 213,826.50/x
3. Step 3: Cross multiply
   99,021x = 213,826.50 × 213,826.50
4. Step 4: Simplify right side
   99,021x = 45,721,772,102.25
5. Step 5: Solve for x
   x = 45,721,772,102.25/99,021
6. Step 6: Final answer
   x = 461,738.14