Finding the Third Proportional to 99,820 and 218,144

Step by Step Solution

1. Step 1: Write the proportion equation
   99,820 : 218,144 = 218,144 : x
2. Step 2: Convert to fraction form
   99,820/218,144 = 218,144/x
3. Step 3: Cross multiply
   99,820x = 218,144 × 218,144
4. Step 4: Simplify right side
   99,820x = 47,586,804,736
5. Step 5: Solve for x
   x = 47,586,804,736/99,820
6. Step 6: Final answer
   x = 476,726.15