Finding the Third Proportional to 46,021 and 99,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,021 : 99,291.50 = 99,291.50 : x
2. Step 2: Convert to fraction form
   46,021/99,291.50 = 99,291.50/x
3. Step 3: Cross multiply
   46,021x = 99,291.50 × 99,291.50
4. Step 4: Simplify right side
   46,021x = 9,858,801,972.25
5. Step 5: Solve for x
   x = 9,858,801,972.25/46,021
6. Step 6: Final answer
   x = 214,223.98