Finding the Third Proportional to 46,019 and 99,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,019 : 99,723.50 = 99,723.50 : x
2. Step 2: Convert to fraction form
   46,019/99,723.50 = 99,723.50/x
3. Step 3: Cross multiply
   46,019x = 99,723.50 × 99,723.50
4. Step 4: Simplify right side
   46,019x = 9,944,776,452.25
5. Step 5: Solve for x
   x = 9,944,776,452.25/46,019
6. Step 6: Final answer
   x = 216,101.53