Finding the Third Proportional to 46,854 and 103,308

Step by Step Solution

1. Step 1: Write the proportion equation
   46,854 : 103,308 = 103,308 : x
2. Step 2: Convert to fraction form
   46,854/103,308 = 103,308/x
3. Step 3: Cross multiply
   46,854x = 103,308 × 103,308
4. Step 4: Simplify right side
   46,854x = 10,672,542,864
5. Step 5: Solve for x
   x = 10,672,542,864/46,854
6. Step 6: Final answer
   x = 227,782.96