Finding the Third Proportional to 99,850 and 218,456

Step by Step Solution

1. Step 1: Write the proportion equation
   99,850 : 218,456 = 218,456 : x
2. Step 2: Convert to fraction form
   99,850/218,456 = 218,456/x
3. Step 3: Cross multiply
   99,850x = 218,456 × 218,456
4. Step 4: Simplify right side
   99,850x = 47,723,023,936
5. Step 5: Solve for x
   x = 47,723,023,936/99,850
6. Step 6: Final answer
   x = 477,947.16