Finding the Third Proportional to 99,895.78 and 214,007.06

Step by Step Solution

1. Step 1: Write the proportion equation
   99,895.78 : 214,007.06 = 214,007.06 : x
2. Step 2: Convert to fraction form
   99,895.78/214,007.06 = 214,007.06/x
3. Step 3: Cross multiply
   99,895.78x = 214,007.06 × 214,007.06
4. Step 4: Simplify right side
   99,895.78x = 45,799,022,799.88
5. Step 5: Solve for x
   x = 45,799,022,799.88/99,895.78
6. Step 6: Final answer
   x = 458,468.04