Finding the Third Proportional to 92,406.50 and 199,024

Step by Step Solution

1. Step 1: Write the proportion equation
   92,406.50 : 199,024 = 199,024 : x
2. Step 2: Convert to fraction form
   92,406.50/199,024 = 199,024/x
3. Step 3: Cross multiply
   92,406.50x = 199,024 × 199,024
4. Step 4: Simplify right side
   92,406.50x = 39,610,552,576
5. Step 5: Solve for x
   x = 39,610,552,576/92,406.50
6. Step 6: Final answer
   x = 428,655.48