Finding the Third Proportional to 46,792 and 102,333

Step by Step Solution

1. Step 1: Write the proportion equation
   46,792 : 102,333 = 102,333 : x
2. Step 2: Convert to fraction form
   46,792/102,333 = 102,333/x
3. Step 3: Cross multiply
   46,792x = 102,333 × 102,333
4. Step 4: Simplify right side
   46,792x = 10,472,042,889
5. Step 5: Solve for x
   x = 10,472,042,889/46,792
6. Step 6: Final answer
   x = 223,799.86