Finding the Third Proportional to 99,198 and 214,077.38

Step by Step Solution

1. Step 1: Write the proportion equation
   99,198 : 214,077.38 = 214,077.38 : x
2. Step 2: Convert to fraction form
   99,198/214,077.38 = 214,077.38/x
3. Step 3: Cross multiply
   99,198x = 214,077.38 × 214,077.38
4. Step 4: Simplify right side
   99,198x = 45,829,122,486.89
5. Step 5: Solve for x
   x = 45,829,122,486.89/99,198
6. Step 6: Final answer
   x = 461,996.44