Finding the Third Proportional to 46,826.16 and 102,394.69

Step by Step Solution

1. Step 1: Write the proportion equation
   46,826.16 : 102,394.69 = 102,394.69 : x
2. Step 2: Convert to fraction form
   46,826.16/102,394.69 = 102,394.69/x
3. Step 3: Cross multiply
   46,826.16x = 102,394.69 × 102,394.69
4. Step 4: Simplify right side
   46,826.16x = 10,484,672,028.22
5. Step 5: Solve for x
   x = 10,484,672,028.22/46,826.16
6. Step 6: Final answer
   x = 223,906.31