Finding the Third Proportional to 99,856 and 218,468

Step by Step Solution

1. Step 1: Write the proportion equation
   99,856 : 218,468 = 218,468 : x
2. Step 2: Convert to fraction form
   99,856/218,468 = 218,468/x
3. Step 3: Cross multiply
   99,856x = 218,468 × 218,468
4. Step 4: Simplify right side
   99,856x = 47,728,267,024
5. Step 5: Solve for x
   x = 47,728,267,024/99,856
6. Step 6: Final answer
   x = 477,970.95