Finding the Third Proportional to 46,520 and 101,792

Step by Step Solution

1. Step 1: Write the proportion equation
   46,520 : 101,792 = 101,792 : x
2. Step 2: Convert to fraction form
   46,520/101,792 = 101,792/x
3. Step 3: Cross multiply
   46,520x = 101,792 × 101,792
4. Step 4: Simplify right side
   46,520x = 10,361,611,264
5. Step 5: Solve for x
   x = 10,361,611,264/46,520
6. Step 6: Final answer
   x = 222,734.55