Finding the Third Proportional to 99,724.50 and 213,462

Step by Step Solution

1. Step 1: Write the proportion equation
   99,724.50 : 213,462 = 213,462 : x
2. Step 2: Convert to fraction form
   99,724.50/213,462 = 213,462/x
3. Step 3: Cross multiply
   99,724.50x = 213,462 × 213,462
4. Step 4: Simplify right side
   99,724.50x = 45,566,025,444
5. Step 5: Solve for x
   x = 45,566,025,444/99,724.50
6. Step 6: Final answer
   x = 456,919.07