Finding the Third Proportional to 47,184 and 99,792

Step by Step Solution

1. Step 1: Write the proportion equation
   47,184 : 99,792 = 99,792 : x
2. Step 2: Convert to fraction form
   47,184/99,792 = 99,792/x
3. Step 3: Cross multiply
   47,184x = 99,792 × 99,792
4. Step 4: Simplify right side
   47,184x = 9,958,443,264
5. Step 5: Solve for x
   x = 9,958,443,264/47,184
6. Step 6: Final answer
   x = 211,055.51