Finding the Third Proportional to 99,876.38 and 213,968.25

Step by Step Solution

1. Step 1: Write the proportion equation
   99,876.38 : 213,968.25 = 213,968.25 : x
2. Step 2: Convert to fraction form
   99,876.38/213,968.25 = 213,968.25/x
3. Step 3: Cross multiply
   99,876.38x = 213,968.25 × 213,968.25
4. Step 4: Simplify right side
   99,876.38x = 45,782,412,008.06
5. Step 5: Solve for x
   x = 45,782,412,008.06/99,876.38
6. Step 6: Final answer
   x = 458,390.81